5092642800 has 960 divisors, whose sum is σ = 22318571520. Its totient is φ = 1078272000.

The previous prime is 5092642771. The next prime is 5092642801. The reversal of 5092642800 is 82462905.

It is a happy number.

5092642800 is a `hidden beast` number, since 5 + 0 + 9 + 2 + 642 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5092642801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96087574 + ... + 96087626.

It is an arithmetic number, because the mean of its divisors is an integer number (23248512).

Almost surely, 2^5092642800 is an apocalyptic number.

5092642800 is a gapful number since it is divisible by the number (50) 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 5092642800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11159285760).

5092642800 is an abundant number, since it is smaller than the sum of its proper divisors (17225928720).

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

5092642800 is a wasteful number, since it uses less digits than its factorization.

5092642800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5092642800 is about 71362.7549916621. The cubic root of 5092642800 is about 1720.4725130508.

The spelling of 5092642800 in words is "five billion, ninety-two million, six hundred forty-two thousand, eight hundred".