5107485600 has 648 divisors, whose sum is σ = 21672862848. Its totient is φ = 1127347200.

The previous prime is 5107485599. The next prime is 5107485637. The reversal of 5107485600 is 65847015.

5107485600 is a `hidden beast` number, since 5 + 1 + 0 + 7 + 48 + 5 + 600 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10936567 + ... + 10937033.

It is an arithmetic number, because the mean of its divisors is an integer number (33445776).

Almost surely, 2^5107485600 is an apocalyptic number.

5107485600 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 5107485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10836431424).

5107485600 is an abundant number, since it is smaller than the sum of its proper divisors (16565377248).

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

5107485600 is a wasteful number, since it uses less digits than its factorization.

5107485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5107485600 is about 71466.6747512433. The cubic root of 5107485600 is about 1722.1423638001.

The spelling of 5107485600 in words is "five billion, one hundred seven million, four hundred eighty-five thousand, six hundred".