97580025400 has 288 divisors, whose sum is σ = 279677992320. Its totient is φ = 31327296000.

The previous prime is 97580025373. The next prime is 97580025443. The reversal of 97580025400 is 452008579.

97580025400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×97580025400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 8545695 + ... + 8557105.

It is an arithmetic number, because the mean of its divisors is an integer number (971104140).

Almost surely, 2^97580025400 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 97580025400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139838996160).

97580025400 is an abundant number, since it is smaller than the sum of its proper divisors (182097966920).

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

97580025400 is a wasteful number, since it uses less digits than its factorization.

97580025400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11487 (or 11465 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 97580025400 in words is "ninety-seven billion, five hundred eighty million, twenty-five thousand, four hundred".