97158962160 has 720 divisors, whose sum is σ = 378239228640. Its totient is φ = 23044331520.

The previous prime is 97158962143. The next prime is 97158962179. The reversal of 97158962160 is 6126985179.

97158962160 is a `hidden beast` number, since 9 + 7 + 1 + 5 + 8 + 9 + 621 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 97158962097 and 97158962106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 197879515 + ... + 197880005.

It is an arithmetic number, because the mean of its divisors is an integer number (525332262).

Almost surely, 2^97158962160 is an apocalyptic number.

97158962160 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 97158962160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189119614320).

97158962160 is an abundant number, since it is smaller than the sum of its proper divisors (281080266480).

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

97158962160 is a wasteful number, since it uses less digits than its factorization.

97158962160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 97158962160 in words is "ninety-seven billion, one hundred fifty-eight million, nine hundred sixty-two thousand, one hundred sixty".