5107334400 has 648 divisors, whose sum is σ = 21351133440. Its totient is φ = 1140572160.

The previous prime is 5107334369. The next prime is 5107334423. The reversal of 5107334400 is 44337015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21369481 + ... + 21369719.

It is an arithmetic number, because the mean of its divisors is an integer number (32949280).

Almost surely, 2^5107334400 is an apocalyptic number.

5107334400 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 5107334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10675566720).

5107334400 is an abundant number, since it is smaller than the sum of its proper divisors (16243799040).

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

5107334400 is a wasteful number, since it uses less digits than its factorization.

5107334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5107334400 is about 71465.6169077130. The cubic root of 5107334400 is about 1722.1253697567.

The spelling of 5107334400 in words is "five billion, one hundred seven million, three hundred thirty-four thousand, four hundred".