97056610560 has 1296 divisors, whose sum is σ = 432553046016. Its totient is φ = 20316635136.

The previous prime is 97056610531. The next prime is 97056610591. The reversal of 97056610560 is 6501665079.

97056610560 is a `hidden beast` number, since 9 + 70 + 5 + 6 + 6 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

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 143 ways as a sum of consecutive naturals, for example, 764225217 + ... + 764225343.

Almost surely, 2^97056610560 is an apocalyptic number.

97056610560 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 97056610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216276523008).

97056610560 is an abundant number, since it is smaller than the sum of its proper divisors (335496435456).

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

97056610560 is an equidigital number, since it uses as much as digits as its factorization.

97056610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 97056610560 in words is "ninety-seven billion, fifty-six million, six hundred ten thousand, five hundred sixty".