5077105459200 has 1080 divisors, whose sum is σ = 19300575621600. Its totient is φ = 1272179589120.

The previous prime is 5077105459193. The next prime is 5077105459201. The reversal of 5077105459200 is 29545017705.

5077105459200 is a `hidden beast` number, since 5 + 0 + 7 + 7 + 1 + 0 + 54 + 592 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5077105459201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12117196591 + ... + 12117197009.

Almost surely, 2^{5077105459200} is an apocalyptic number.

5077105459200 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 5077105459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9650287810800).

5077105459200 is an abundant number, since it is smaller than the sum of its proper divisors (14223470162400).

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

5077105459200 is a wasteful number, since it uses less digits than its factorization.

5077105459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 5077105459200 in words is "five trillion, seventy-seven billion, one hundred five million, four hundred fifty-nine thousand, two hundred".