97625088000 has 1120 divisors, whose sum is σ = 400782178368. Its totient is φ = 23445504000.

The previous prime is 97625087999. The next prime is 97625088007. The reversal of 97625088000 is 88052679.

97625088000 is a `hidden beast` number, since 9 + 7 + 62 + 508 + 80 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (97625088007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 912383947 + ... + 912384053.

Almost surely, 2^97625088000 is an apocalyptic number.

97625088000 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 97625088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200391089184).

97625088000 is an abundant number, since it is smaller than the sum of its proper divisors (303157090368).

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

97625088000 is a wasteful number, since it uses less digits than its factorization.

97625088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 97625088000 in words is "ninety-seven billion, six hundred twenty-five million, eighty-eight thousand".