97390425600 has 960 divisors, whose sum is σ = 393190459200. Its totient is φ = 23463198720.

The previous prime is 97390425577. The next prime is 97390425637. The reversal of 97390425600 is 652409379.

It is a happy number.

97390425600 is a `hidden beast` number, since 9 + 7 + 39 + 0 + 4 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238118196 + ... + 238118604.

It is an arithmetic number, because the mean of its divisors is an integer number (409573395).

Almost surely, 2^97390425600 is an apocalyptic number.

97390425600 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 97390425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196595229600).

97390425600 is an abundant number, since it is smaller than the sum of its proper divisors (295800033600).

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

97390425600 is a wasteful number, since it uses less digits than its factorization.

97390425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 97390425600 in words is "ninety-seven billion, three hundred ninety million, four hundred twenty-five thousand, six hundred".