97156250400 has 576 divisors, whose sum is σ = 366906516480. Its totient is φ = 22096588800.

The previous prime is 97156250353. The next prime is 97156250441. The reversal of 97156250400 is 405265179.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32180091 + ... + 32183109.

It is an arithmetic number, because the mean of its divisors is an integer number (636990480).

Almost surely, 2^97156250400 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 97156250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183453258240).

97156250400 is an abundant number, since it is smaller than the sum of its proper divisors (269750266080).

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

97156250400 is a wasteful number, since it uses less digits than its factorization.

97156250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 97156250400 in words is "ninety-seven billion, one hundred fifty-six million, two hundred fifty thousand, four hundred".