97885532160 has 1248 divisors, whose sum is σ = 405725785920. Its totient is φ = 22422749184.

The previous prime is 97885532119. The next prime is 97885532183. The reversal of 97885532160 is 6123558879.

97885532160 is a `hidden beast` number, since 9 + 7 + 8 + 8 + 553 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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 = 97885532097 and 97885532106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1099837396 + ... + 1099837484.

It is an arithmetic number, because the mean of its divisors is an integer number (325100790).

Almost surely, 2^97885532160 is an apocalyptic number.

97885532160 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 97885532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202862892960).

97885532160 is an abundant number, since it is smaller than the sum of its proper divisors (307840253760).

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

97885532160 is a wasteful number, since it uses less digits than its factorization.

97885532160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 97885532160 in words is "ninety-seven billion, eight hundred eighty-five million, five hundred thirty-two thousand, one hundred sixty".