5107838400 has 1008 divisors, whose sum is σ = 22979481600. Its totient is φ = 1097349120.

The previous prime is 5107838389. The next prime is 5107838429. The reversal of 5107838400 is 48387015.

5107838400 is a `hidden beast` number, since 510 + 78 + 38 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40219137 + ... + 40219263.

Almost surely, 2^5107838400 is an apocalyptic number.

5107838400 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 5107838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11489740800).

5107838400 is an abundant number, since it is smaller than the sum of its proper divisors (17871643200).

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

5107838400 is a wasteful number, since it uses less digits than its factorization.

5107838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5107838400 is about 71469.1429919234. The cubic root of 5107838400 is about 1722.1820152636.

The spelling of 5107838400 in words is "five billion, one hundred seven million, eight hundred thirty-eight thousand, four hundred".