5077559763360 has 864 divisors, whose sum is σ = 21660628167360. Its totient is φ = 1075995131904.

The previous prime is 5077559763301. The next prime is 5077559763383. The reversal of 5077559763360 is 633679557705.

5077559763360 is a `hidden beast` number, since 5 + 0 + 7 + 7 + 5 + 597 + 6 + 3 + 36 + 0 = 666.

It is a super-2 number, since 2×5077559763360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80336251 + ... + 80399429.

It is an arithmetic number, because the mean of its divisors is an integer number (25070171490).

Almost surely, 2^{5077559763360} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5077559763360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10830314083680).

5077559763360 is an abundant number, since it is smaller than the sum of its proper divisors (16583068404000).

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

5077559763360 is a wasteful number, since it uses less digits than its factorization.

5077559763360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63298 (or 63280 counting only the distinct ones).

The product of its (nonzero) digits is 125023500, while the sum is 63.

The spelling of 5077559763360 in words is "five trillion, seventy-seven billion, five hundred fifty-nine million, seven hundred sixty-three thousand, three hundred sixty".