97713598400 has 504 divisors, whose sum is σ = 274838190480. Its totient is φ = 34147942400.

The previous prime is 97713598399. The next prime is 97713598457. The reversal of 97713598400 is 489531779.

97713598400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 913211147 + ... + 913211253.

It is an arithmetic number, because the mean of its divisors is an integer number (545313870).

Almost surely, 2^97713598400 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 97713598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137419095240).

97713598400 is an abundant number, since it is smaller than the sum of its proper divisors (177124592080).

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

97713598400 is a wasteful number, since it uses less digits than its factorization.

97713598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 53.

The spelling of 97713598400 in words is "ninety-seven billion, seven hundred thirteen million, five hundred ninety-eight thousand, four hundred".