5088379200 has 336 divisors, whose sum is σ = 17336658240. Its totient is φ = 1305722880.

The previous prime is 5088379147. The next prime is 5088379207. The reversal of 5088379200 is 29738805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5088379207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18369462 + ... + 18369738.

Almost surely, 2^5088379200 is an apocalyptic number.

5088379200 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 5088379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668329120).

5088379200 is an abundant number, since it is smaller than the sum of its proper divisors (12248279040).

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

5088379200 is a wasteful number, since it uses less digits than its factorization.

5088379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 5088379200 is about 71332.8760109951. The cubic root of 5088379200 is about 1719.9922480271.

The spelling of 5088379200 in words is "five billion, eighty-eight million, three hundred seventy-nine thousand, two hundred".