97865625600 has 1248 divisors, whose sum is σ = 399773222400. Its totient is φ = 23648993280.

The previous prime is 97865625503. The next prime is 97865625617. The reversal of 97865625600 is 652656879.

It is a happy number.

97865625600 is a `hidden beast` number, since 9 + 7 + 8 + 6 + 5 + 6 + 25 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 4255027189 + ... + 4255027211.

Almost surely, 2^97865625600 is an apocalyptic number.

97865625600 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 97865625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199886611200).

97865625600 is an abundant number, since it is smaller than the sum of its proper divisors (301907596800).

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

97865625600 is an equidigital number, since it uses as much as digits as its factorization.

97865625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 97865625600 in words is "ninety-seven billion, eight hundred sixty-five million, six hundred twenty-five thousand, six hundred".