5055031800 has 768 divisors, whose sum is σ = 21865267200. Its totient is φ = 1058158080.

The previous prime is 5055031733. The next prime is 5055031811. The reversal of 5055031800 is 81305505.

5055031800 is a `hidden beast` number, since 5 + 0 + 550 + 31 + 80 + 0 = 666.

It is a super-2 number, since 2×5055031800² = 51106692998022480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39803337 + ... + 39803463.

It is an arithmetic number, because the mean of its divisors is an integer number (28470400).

Almost surely, 2^5055031800 is an apocalyptic number.

5055031800 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 5055031800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10932633600).

5055031800 is an abundant number, since it is smaller than the sum of its proper divisors (16810235400).

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

5055031800 is a wasteful number, since it uses less digits than its factorization.

5055031800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 5055031800 is about 71098.7468243991. The cubic root of 5055031800 is about 1716.2266070734.

It can be divided in two parts, 505 and 5031800, that added together give a palindrome (5032305).

The spelling of 5055031800 in words is "five billion, fifty-five million, thirty-one thousand, eight hundred".