985172572800 has 288 divisors, whose sum is σ = 3785732293980. Its totient is φ = 242503925760.

The previous prime is 985172572723. The next prime is 985172572843. The reversal of 985172572800 is 8275271589.

It can be written as a sum of positive squares in 6 ways, for example, as 461540879424 + 523631693376 = 679368^2 + 723624^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 941269 + ... + 1690068.

Almost surely, 2^985172572800 is an apocalyptic number.

985172572800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

985172572800 is an abundant number, since it is smaller than the sum of its proper divisors (2800559721180).

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

985172572800 is a wasteful number, since it uses less digits than its factorization.

985172572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631380 (or 2631360 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 985172572800 in words is "nine hundred eighty-five billion, one hundred seventy-two million, five hundred seventy-two thousand, eight hundred".