97250025600 has 2880 divisors, whose sum is σ = 488506233600. Its totient is φ = 18811699200.

The previous prime is 97250025571. The next prime is 97250025623. The reversal of 97250025600 is 652005279.

97250025600 is a `hidden beast` number, since 9 + 7 + 25 + 0 + 0 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3137097585 + ... + 3137097615.

It is an arithmetic number, because the mean of its divisors is an integer number (169620220).

Almost surely, 2^97250025600 is an apocalyptic number.

97250025600 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 97250025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244253116800).

97250025600 is an abundant number, since it is smaller than the sum of its proper divisors (391256208000).

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

97250025600 is a wasteful number, since it uses less digits than its factorization.

97250025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

97250025600 divided by its product of nonzero digits (37800) gives a palindrome (2572752).

The spelling of 97250025600 in words is "ninety-seven billion, two hundred fifty million, twenty-five thousand, six hundred".