97089572160 has 672 divisors, whose sum is σ = 406041880320. Its totient is φ = 21768155136.

The previous prime is 97089572159. The next prime is 97089572197. The reversal of 97089572160 is 6127598079.

97089572160 is a `hidden beast` number, since 9 + 7 + 0 + 8 + 9 + 572 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 97089572097 and 97089572106.

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, 22435917 + ... + 22440243.

Almost surely, 2^97089572160 is an apocalyptic number.

97089572160 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 97089572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203020940160).

97089572160 is an abundant number, since it is smaller than the sum of its proper divisors (308952308160).

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

97089572160 is a wasteful number, since it uses less digits than its factorization.

97089572160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 97089572160 in words is "ninety-seven billion, eighty-nine million, five hundred seventy-two thousand, one hundred sixty".