5160534400 has 192 divisors, whose sum is σ = 14719995360. Its totient is φ = 1751040000.

The previous prime is 5160534347. The next prime is 5160534409. The reversal of 5160534400 is 44350615.

It is a super-2 number, since 2×5160534400² = 53262230587166720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5160534409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2261260 + ... + 2263540.

Almost surely, 2^5160534400 is an apocalyptic number.

5160534400 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 5160534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7359997680).

5160534400 is an abundant number, since it is smaller than the sum of its proper divisors (9559460960).

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

5160534400 is a wasteful number, since it uses less digits than its factorization.

5160534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 5160534400 is about 71836.8596195574. The cubic root of 5160534400 is about 1728.0841722830.

The spelling of 5160534400 in words is "five billion, one hundred sixty million, five hundred thirty-four thousand, four hundred".