97290459360 has 144 divisors (see below), whose sum is σ = 336680154720. Its totient is φ = 25578685440.

The previous prime is 97290459341. The next prime is 97290459407. The reversal of 97290459360 is 6395409279.

97290459360 is a `hidden beast` number, since 9 + 72 + 90 + 459 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 97290459297 and 97290459306.

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 23 ways as a sum of consecutive naturals, for example, 373555 + ... + 578034.

It is an arithmetic number, because the mean of its divisors is an integer number (2338056630).

Almost surely, 2^97290459360 is an apocalyptic number.

97290459360 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97290459360 is an abundant number, since it is smaller than the sum of its proper divisors (239389695360).

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

97290459360 is a wasteful number, since it uses less digits than its factorization.

97290459360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951681 (or 951670 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 97290459360 in words is "ninety-seven billion, two hundred ninety million, four hundred fifty-nine thousand, three hundred sixty".