5056819200 has 624 divisors, whose sum is σ = 19501132800. Its totient is φ = 1282867200.

The previous prime is 5056819153. The next prime is 5056819211. The reversal of 5056819200 is 29186505.

It is a happy number.

5056819200 is a `hidden beast` number, since 5 + 0 + 568 + 1 + 92 + 0 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 85708771 + ... + 85708829.

Almost surely, 2^5056819200 is an apocalyptic number.

5056819200 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 5056819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9750566400).

5056819200 is an abundant number, since it is smaller than the sum of its proper divisors (14444313600).

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

5056819200 is a wasteful number, since it uses less digits than its factorization.

5056819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5056819200 is about 71111.3155552617. The cubic root of 5056819200 is about 1716.4288624416.

The spelling of 5056819200 in words is "five billion, fifty-six million, eight hundred nineteen thousand, two hundred".