92042956800 has 702 divisors, whose sum is σ = 344839445418. Its totient is φ = 24365629440.

The previous prime is 92042956799. The next prime is 92042956813. The reversal of 92042956800 is 865924029.

It can be written as a sum of positive squares in 3 ways, for example, as 7766544384 + 84276412416 = 88128^2 + 290304^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 671846332 + ... + 671846468.

Almost surely, 2^92042956800 is an apocalyptic number.

92042956800 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 92042956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172419722709).

92042956800 is an abundant number, since it is smaller than the sum of its proper divisors (252796488618).

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

92042956800 is an frugal number, since it uses more digits than its factorization.

92042956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 92042956800 in words is "ninety-two billion, forty-two million, nine hundred fifty-six thousand, eight hundred".