5056344000 has 672 divisors, whose sum is σ = 19949891520. Its totient is φ = 1269043200.

The previous prime is 5056343969. The next prime is 5056344019. The reversal of 5056344000 is 4436505.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×5056344000² = 51133229292672000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 297431992 + ... + 297432008.

Almost surely, 2^5056344000 is an apocalyptic number.

5056344000 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 5056344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9974945760).

5056344000 is an abundant number, since it is smaller than the sum of its proper divisors (14893547520).

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

5056344000 is an frugal number, since it uses more digits than its factorization.

5056344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5056344000 is about 71107.9742363682. The cubic root of 5056344000 is about 1716.3750952734.

The spelling of 5056344000 in words is "five billion, fifty-six million, three hundred forty-four thousand".