5879052900 has 180 divisors, whose sum is σ = 21780286528. Its totient is φ = 1343770560.

The previous prime is 5879052899. The next prime is 5879052917. The reversal of 5879052900 is 92509785.

It is a happy number.

5879052900 is a `hidden beast` number, since 58 + 79 + 0 + 529 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4857 + ... + 108543.

Almost surely, 2^5879052900 is an apocalyptic number.

5879052900 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 5879052900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10890143264).

5879052900 is an abundant number, since it is smaller than the sum of its proper divisors (15901233628).

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

5879052900 is a wasteful number, since it uses less digits than its factorization.

5879052900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103720 (or 103704 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 5879052900 is about 76674.9822301903. The cubic root of 5879052900 is about 1804.8278726704.

The spelling of 5879052900 in words is "five billion, eight hundred seventy-nine million, fifty-two thousand, nine hundred".