5057740800 has 612 divisors, whose sum is σ = 21128645200. Its totient is φ = 1156055040.

The previous prime is 5057740783. The next prime is 5057740811. The reversal of 5057740800 is 80477505.

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.

5057740800 is a `hidden beast` number, since 5 + 0 + 577 + 4 + 0 + 80 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 722534397 + ... + 722534403.

Almost surely, 2^5057740800 is an apocalyptic number.

5057740800 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 5057740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10564322600).

5057740800 is an abundant number, since it is smaller than the sum of its proper divisors (16070904400).

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

5057740800 is an frugal number, since it uses more digits than its factorization.

5057740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5057740800 is about 71117.7952414162. The cubic root of 5057740800 is about 1716.5331285616.

The spelling of 5057740800 in words is "five billion, fifty-seven million, seven hundred forty thousand, eight hundred".