5142032800 has 72 divisors (see below), whose sum is σ = 12596404716. Its totient is φ = 2049699840.

The previous prime is 5142032737. The next prime is 5142032821. The reversal of 5142032800 is 82302415.

It can be written as a sum of positive squares in 6 ways, for example, as 2302848144 + 2839184656 = 47988^2 + 53284^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223432 + ... + 245368.

Almost surely, 2^5142032800 is an apocalyptic number.

5142032800 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 5142032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6298202358).

5142032800 is an abundant number, since it is smaller than the sum of its proper divisors (7454371916).

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

5142032800 is a wasteful number, since it uses less digits than its factorization.

5142032800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22250 (or 22237 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 5142032800 is about 71707.9688737591. The cubic root of 5142032800 is about 1726.0165177153.

The spelling of 5142032800 in words is "five billion, one hundred forty-two million, thirty-two thousand, eight hundred".