5057241600 has 480 divisors, whose sum is σ = 18120554496. Its totient is φ = 1238630400.

The previous prime is 5057241593. The next prime is 5057241601. The reversal of 5057241600 is 61427505.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5057241601) 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, 39820737 + ... + 39820863.

Almost surely, 2^5057241600 is an apocalyptic number.

5057241600 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 5057241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9060277248).

5057241600 is an abundant number, since it is smaller than the sum of its proper divisors (13063312896).

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

5057241600 is a wasteful number, since it uses less digits than its factorization.

5057241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 5057241600 is about 71114.2854847041. The cubic root of 5057241600 is about 1716.4766526523.

The spelling of 5057241600 in words is "five billion, fifty-seven million, two hundred forty-one thousand, six hundred".