97557080400 has 600 divisors, whose sum is σ = 383339386584. Its totient is φ = 23614156800.

The previous prime is 97557080381. The next prime is 97557080417. The reversal of 97557080400 is 408075579.

97557080400 is a `hidden beast` number, since 9 + 75 + 570 + 8 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 93569915664 + 3987164736 = 305892^2 + 63144^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 25691302 + ... + 25695098.

Almost surely, 2^97557080400 is an apocalyptic number.

97557080400 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 97557080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191669693292).

97557080400 is an abundant number, since it is smaller than the sum of its proper divisors (285782306184).

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

97557080400 is a wasteful number, since it uses less digits than its factorization.

97557080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 97557080400 in words is "ninety-seven billion, five hundred fifty-seven million, eighty thousand, four hundred".