96891735600 has 240 divisors, whose sum is σ = 376214432640. Its totient is φ = 23488876800.

The previous prime is 96891735587. The next prime is 96891735709. The reversal of 96891735600 is 653719869.

96891735600 is a `hidden beast` number, since 9 + 6 + 8 + 9 + 1 + 73 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288994 + ... + 526593.

It is an arithmetic number, because the mean of its divisors is an integer number (1567560136).

Almost surely, 2^96891735600 is an apocalyptic number.

96891735600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96891735600 is an abundant number, since it is smaller than the sum of its proper divisors (279322697040).

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

96891735600 is a wasteful number, since it uses less digits than its factorization.

96891735600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815625 (or 815608 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 96891735600 in words is "ninety-six billion, eight hundred ninety-one million, seven hundred thirty-five thousand, six hundred".