97200000000008 has 32 divisors (see below), whose sum is σ = 199195445928960. Its totient is φ = 44265654647040.

The previous prime is 97199999999989. The next prime is 97200000000031. The reversal of 97200000000008 is 80000000000279.

It is a junction number, because it is equal to n+sod(n) for n = 97199999999896 and 97199999999905.

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 7 ways as a sum of consecutive naturals, for example, 11527510016 + ... + 11527518447.

It is an arithmetic number, because the mean of its divisors is an integer number (6224857685280).

Almost surely, 2^{97200000000008} is an apocalyptic number.

It is an amenable number.

97200000000008 is an abundant number, since it is smaller than the sum of its proper divisors (101995445928952).

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

97200000000008 is a wasteful number, since it uses less digits than its factorization.

97200000000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23055028517 (or 23055028513 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

It can be divided in two parts, 9720000000000 and 8, that multiplied together give a 5-th power (77760000000000 = 600⁵).

The spelling of 97200000000008 in words is "ninety-seven trillion, two hundred billion, eight", and thus it is an aban number.