538760804400 has 720 divisors, whose sum is σ = 2401188980736. Its totient is φ = 108728801280.

The previous prime is 538760804399. The next prime is 538760804401. The reversal of 538760804400 is 4408067835.

538760804400 is a `hidden beast` number, since 5 + 38 + 7 + 608 + 0 + 4 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (538760804399) and next prime (538760804401).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (538760804401) 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 143 ways as a sum of consecutive naturals, for example, 7499049 + ... + 7570551.

Almost surely, 2^538760804400 is an apocalyptic number.

538760804400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538760804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200594490368).

538760804400 is an abundant number, since it is smaller than the sum of its proper divisors (1862428176336).

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

538760804400 is a wasteful number, since it uses less digits than its factorization.

538760804400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71570 (or 71556 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 538760804400 in words is "five hundred thirty-eight billion, seven hundred sixty million, eight hundred four thousand, four hundred".