5156056400 has 240 divisors, whose sum is σ = 14123286528. Its totient is φ = 1791936000.

The previous prime is 5156056387. The next prime is 5156056403. The reversal of 5156056400 is 46506515.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5156056403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14049017 + ... + 14049383.

Almost surely, 2^5156056400 is an apocalyptic number.

5156056400 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 5156056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7061643264).

5156056400 is an abundant number, since it is smaller than the sum of its proper divisors (8967230128).

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

5156056400 is a wasteful number, since it uses less digits than its factorization.

5156056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 5156056400 is about 71805.6850117036. The cubic root of 5156056400 is about 1727.5841852857.

The spelling of 5156056400 in words is "five billion, one hundred fifty-six million, fifty-six thousand, four hundred".