5879527200 has 216 divisors, whose sum is σ = 21824384400. Its totient is φ = 1485319680.

The previous prime is 5879527187. The next prime is 5879527229. The reversal of 5879527200 is 27259785.

It is a happy number.

5879527200 is a `hidden beast` number, since 58 + 79 + 527 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115311 + ... + 158289.

Almost surely, 2^5879527200 is an apocalyptic number.

5879527200 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 5879527200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10912192200).

5879527200 is an abundant number, since it is smaller than the sum of its proper divisors (15944857200).

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

5879527200 is a wasteful number, since it uses less digits than its factorization.

5879527200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43024 (or 43008 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 5879527200 is about 76678.0750932103. The cubic root of 5879527200 is about 1804.8764069527.

The spelling of 5879527200 in words is "five billion, eight hundred seventy-nine million, five hundred twenty-seven thousand, two hundred".