5456101788900 has 567 divisors, whose sum is σ = 20040413758729. Its totient is φ = 1241615108160.

The previous prime is 5456101788883. The next prime is 5456101788919. The reversal of 5456101788900 is 98871016545.

It is a happy number.

The square root of 5456101788900 is 2335830.

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

5456101788900 is a `hidden beast` number, since 5 + 4 + 5 + 610 + 17 + 8 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1964196644004 + 3491905144896 = 1401498^2 + 1868664^2 .

It is an unprimeable number.

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 188 ways as a sum of consecutive naturals, for example, 24035690587 + ... + 24035690813.

Almost surely, 2^{5456101788900} is an apocalyptic number.

5456101788900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5456101788900 is the 2335830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5456101788900

5456101788900 is an abundant number, since it is smaller than the sum of its proper divisors (14584311969829).

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

5456101788900 is an frugal number, since it uses more digits than its factorization.

5456101788900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

It can be divided in two parts, 5456101 and 788900, that added together give a square (6245001 = 2499²).

The spelling of 5456101788900 in words is "five trillion, four hundred fifty-six billion, one hundred one million, seven hundred eighty-eight thousand, nine hundred".