5089107600 has 90 divisors (see below), whose sum is σ = 17660629506. Its totient is φ = 1357094400.

The previous prime is 5089107593. The next prime is 5089107623. The reversal of 5089107600 is 67019805.

5089107600 is a `hidden beast` number, since 508 + 91 + 0 + 7 + 60 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 71368704 + 5017738896 = 8448^2 + 70836^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 703221 + ... + 710420.

Almost surely, 2^5089107600 is an apocalyptic number.

5089107600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5089107600 is an abundant number, since it is smaller than the sum of its proper divisors (12571521906).

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

5089107600 is a wasteful number, since it uses less digits than its factorization.

5089107600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413665 (or 1413651 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5089107600 is about 71337.9814684997. The cubic root of 5089107600 is about 1720.0743162409.

The spelling of 5089107600 in words is "five billion, eighty-nine million, one hundred seven thousand, six hundred".