97591910400 has 1008 divisors, whose sum is σ = 379344564144. Its totient is φ = 24843386880.

The previous prime is 97591910357. The next prime is 97591910417. The reversal of 97591910400 is 401919579.

97591910400 is a `hidden beast` number, since 9 + 7 + 59 + 191 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1841356774 + ... + 1841356826.

It is an arithmetic number, because the mean of its divisors is an integer number (376333893).

Almost surely, 2^97591910400 is an apocalyptic number.

97591910400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97591910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189672282072).

97591910400 is an abundant number, since it is smaller than the sum of its proper divisors (281752653744).

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

97591910400 is an equidigital number, since it uses as much as digits as its factorization.

97591910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 97591910400 in words is "ninety-seven billion, five hundred ninety-one million, nine hundred ten thousand, four hundred".