97625292800 has 360 divisors, whose sum is σ = 280842024960. Its totient is φ = 32971161600.

The previous prime is 97625292773. The next prime is 97625292859. The reversal of 97625292800 is 829252679.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226508585 + ... + 226509015.

It is an arithmetic number, because the mean of its divisors is an integer number (780116736).

Almost surely, 2^97625292800 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 97625292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140421012480).

97625292800 is an abundant number, since it is smaller than the sum of its proper divisors (183216732160).

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

97625292800 is an equidigital number, since it uses as much as digits as its factorization.

97625292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 97625292800 in words is "ninety-seven billion, six hundred twenty-five million, two hundred ninety-two thousand, eight hundred".