5177152800 has 576 divisors, whose sum is σ = 20721173760. Its totient is φ = 1240842240.

The previous prime is 5177152781. The next prime is 5177152867. The reversal of 5177152800 is 82517715.

It is a super-2 number, since 2×5177152800² = 53605822229095680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8445294 + ... + 8445906.

It is an arithmetic number, because the mean of its divisors is an integer number (35974260).

Almost surely, 2^5177152800 is an apocalyptic number.

5177152800 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 5177152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10360586880).

5177152800 is an abundant number, since it is smaller than the sum of its proper divisors (15544020960).

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

5177152800 is a wasteful number, since it uses less digits than its factorization.

5177152800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 5177152800 is about 71952.4342882157. The cubic root of 5177152800 is about 1729.9371601129.

The spelling of 5177152800 in words is "five billion, one hundred seventy-seven million, one hundred fifty-two thousand, eight hundred".