92879252256 has 384 divisors, whose sum is σ = 294912576000. Its totient is φ = 25565675520.

The previous prime is 92879252251. The next prime is 92879252269. The reversal of 92879252256 is 65225297829.

It is a junction number, because it is equal to n+sod(n) for n = 92879252196 and 92879252205.

It is not an unprimeable number, because it can be changed into a prime (92879252251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120153886 + ... + 120154658.

It is an arithmetic number, because the mean of its divisors is an integer number (768001500).

Almost surely, 2^92879252256 is an apocalyptic number.

92879252256 is a gapful number since it is divisible by the number (96) 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 92879252256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147456288000).

92879252256 is an abundant number, since it is smaller than the sum of its proper divisors (202033323744).

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

92879252256 is a wasteful number, since it uses less digits than its factorization.

92879252256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 915 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 57.

The spelling of 92879252256 in words is "ninety-two billion, eight hundred seventy-nine million, two hundred fifty-two thousand, two hundred fifty-six".