5056252800 has 384 divisors, whose sum is σ = 17302464000. Its totient is φ = 1297121280.

The previous prime is 5056252787. The next prime is 5056252813. The reversal of 5056252800 is 82526505.

It is an interprime number because it is at equal distance from previous prime (5056252787) and next prime (5056252813).

It is a tau number, because it is divible by the number of its divisors (384).

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, 44745544 + ... + 44745656.

It is an arithmetic number, because the mean of its divisors is an integer number (45058500).

Almost surely, 2^5056252800 is an apocalyptic number.

5056252800 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 5056252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8651232000).

5056252800 is an abundant number, since it is smaller than the sum of its proper divisors (12246211200).

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

5056252800 is a wasteful number, since it uses less digits than its factorization.

5056252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 5056252800 is about 71107.3329551882. The cubic root of 5056252800 is about 1716.3647759366.

The spelling of 5056252800 in words is "five billion, fifty-six million, two hundred fifty-two thousand, eight hundred".