97745872000 has 128 divisors (see below), whose sum is σ = 277738231680. Its totient is φ = 33512832000.

The previous prime is 97745871991. The next prime is 97745872013. The reversal of 97745872000 is 27854779.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324366 + ... + 548365.

It is an arithmetic number, because the mean of its divisors is an integer number (2169829935).

Almost surely, 2^97745872000 is an apocalyptic number.

It is an amenable number.

97745872000 is an abundant number, since it is smaller than the sum of its proper divisors (179992359680).

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

97745872000 is an equidigital number, since it uses as much as digits as its factorization.

97745872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872767 (or 872745 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 49.

The spelling of 97745872000 in words is "ninety-seven billion, seven hundred forty-five million, eight hundred seventy-two thousand".