5077555200 has 288 divisors, whose sum is σ = 18655837200. Its totient is φ = 1353646080.

The previous prime is 5077555181. The next prime is 5077555207. The reversal of 5077555200 is 25557705.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5077555207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1380564 + ... + 1384236.

Almost surely, 2^5077555200 is an apocalyptic number.

5077555200 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 5077555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9327918600).

5077555200 is an abundant number, since it is smaller than the sum of its proper divisors (13578282000).

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

5077555200 is a wasteful number, since it uses less digits than its factorization.

5077555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 61250, while the sum is 36.

The square root of 5077555200 is about 71256.9659752645. The cubic root of 5077555200 is about 1718.7717930901.

The spelling of 5077555200 in words is "five billion, seventy-seven million, five hundred fifty-five thousand, two hundred".