95981276160 has 1408 divisors, whose sum is σ = 434653102080. Its totient is φ = 19508428800.

The previous prime is 95981276159. The next prime is 95981276179. The reversal of 95981276160 is 6167218959.

95981276160 is a `hidden beast` number, since 9 + 5 + 9 + 8 + 12 + 7 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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 = 95981276097 and 95981276106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 755758017 + ... + 755758143.

Almost surely, 2^95981276160 is an apocalyptic number.

95981276160 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 95981276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217326551040).

95981276160 is an abundant number, since it is smaller than the sum of its proper divisors (338671825920).

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

95981276160 is a wasteful number, since it uses less digits than its factorization.

95981276160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 226 counting only the distinct ones).

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

The spelling of 95981276160 in words is "ninety-five billion, nine hundred eighty-one million, two hundred seventy-six thousand, one hundred sixty".