95956116480 has 1408 divisors, whose sum is σ = 435785011200. Its totient is φ = 19492503552.

The previous prime is 95956116457. The next prime is 95956116491. The reversal of 95956116480 is 8461165959.

95956116480 is a `hidden beast` number, since 9 + 5 + 95 + 61 + 16 + 480 = 666.

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

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, 312560487 + ... + 312560793.

It is an arithmetic number, because the mean of its divisors is an integer number (309506400).

Almost surely, 2^95956116480 is an apocalyptic number.

95956116480 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 95956116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217892505600).

95956116480 is an abundant number, since it is smaller than the sum of its proper divisors (339828894720).

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

95956116480 is a wasteful number, since it uses less digits than its factorization.

95956116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 95956116480 in words is "ninety-five billion, nine hundred fifty-six million, one hundred sixteen thousand, four hundred eighty".