97892364688400 has 120 divisors (see below), whose sum is σ = 235529016193800. Its totient is φ = 39099932467200.

The previous prime is 97892364688399. The next prime is 97892364688421. The reversal of 97892364688400 is 488646329879.

It can be written as a sum of positive squares in 12 ways, for example, as 48038428312576 + 49853936375824 = 6930976^2 + 7060732^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1137856586 + ... + 1137942614.

It is an arithmetic number, because the mean of its divisors is an integer number (1962741801615).

Almost surely, 2^{97892364688400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97892364688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117764508096900).

97892364688400 is an abundant number, since it is smaller than the sum of its proper divisors (137636651505400).

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

97892364688400 is a wasteful number, since it uses less digits than its factorization.

97892364688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90157 (or 90146 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 74.

The spelling of 97892364688400 in words is "ninety-seven trillion, eight hundred ninety-two billion, three hundred sixty-four million, six hundred eighty-eight thousand, four hundred".