95092880960 has 896 divisors, whose sum is σ = 315226598400. Its totient is φ = 26974617600.

The previous prime is 95092880941. The next prime is 95092880999. The reversal of 95092880960 is 6908829059.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 95092880896 and 95092880905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 841529864 + ... + 841529976.

It is an arithmetic number, because the mean of its divisors is an integer number (351815400).

Almost surely, 2^95092880960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95092880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157613299200).

95092880960 is an abundant number, since it is smaller than the sum of its proper divisors (220133717440).

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

95092880960 is a wasteful number, since it uses less digits than its factorization.

95092880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 56.

The spelling of 95092880960 in words is "ninety-five billion, ninety-two million, eight hundred eighty thousand, nine hundred sixty".