95960816640 has 1056 divisors, whose sum is σ = 394311153600. Its totient is φ = 22167945216.

The previous prime is 95960816639. The next prime is 95960816663. The reversal of 95960816640 is 4661806959.

It is a happy number.

95960816640 is a `hidden beast` number, since 9 + 596 + 0 + 8 + 1 + 6 + 6 + 40 = 666.

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

It is a congruent number.

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, 274959186 + ... + 274959534.

Almost surely, 2^95960816640 is an apocalyptic number.

95960816640 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 95960816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197155576800).

95960816640 is an abundant number, since it is smaller than the sum of its proper divisors (298350336960).

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

95960816640 is a wasteful number, since it uses less digits than its factorization.

95960816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 95960816640 in words is "ninety-five billion, nine hundred sixty million, eight hundred sixteen thousand, six hundred forty".