5420561804100 has 189 divisors, whose sum is σ = 17637906481293. Its totient is φ = 1445315516640.

The previous prime is 5420561804093. The next prime is 5420561804107. The reversal of 5420561804100 is 14081650245.

It is a happy number.

The square root of 5420561804100 is 2328210.

It is a perfect power (a square), and thus also a powerful number.

5420561804100 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 561 + 80 + 4 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5420561804093) and next prime (5420561804107).

It can be written as a sum of positive squares in only one way, i.e., 1951402249476 + 3469159554624 = 1396926^2 + 1862568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5420561804107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 628612389 + ... + 628621011.

Almost surely, 2^{5420561804100} is an apocalyptic number.

5420561804100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5420561804100 is the 2328210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5420561804100

5420561804100 is an abundant number, since it is smaller than the sum of its proper divisors (12217344677193).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5420561804100 is an frugal number, since it uses more digits than its factorization.

5420561804100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17278 (or 8633 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Multiplying 5420561804100 by its sum of digits (36), we get a square (195140224947600 = 13969260²).

5420561804100 divided by its sum of digits (36) gives a square (150571161225 = 388035²).

The spelling of 5420561804100 in words is "five trillion, four hundred twenty billion, five hundred sixty-one million, eight hundred four thousand, one hundred".