95918074560 has 1680 divisors, whose sum is σ = 455589997632. Its totient is φ = 18685624320.

The previous prime is 95918074537. The next prime is 95918074579. The reversal of 95918074560 is 6547081959.

95918074560 is a `hidden beast` number, since 9 + 5 + 9 + 1 + 8 + 0 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 = 95918074497 and 95918074506.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 373221952 + ... + 373222208.

Almost surely, 2^95918074560 is an apocalyptic number.

95918074560 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 95918074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227794998816).

95918074560 is an abundant number, since it is smaller than the sum of its proper divisors (359671923072).

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

95918074560 is a wasteful number, since it uses less digits than its factorization.

95918074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 95918074560 in words is "ninety-five billion, nine hundred eighteen million, seventy-four thousand, five hundred sixty".