5313668580864 has 960 divisors, whose sum is σ = 18835833804480. Its totient is φ = 1473846312960.

The previous prime is 5313668580751. The next prime is 5313668580877. The reversal of 5313668580864 is 4680858663135.

5313668580864 is a `hidden beast` number, since 531 + 36 + 6 + 8 + 5 + 8 + 0 + 8 + 64 = 666.

It is a super-2 number, since 2×5313668580864² (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 a congruent number.

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, 8137317562 + ... + 8137318214.

It is an arithmetic number, because the mean of its divisors is an integer number (19620660213).

Almost surely, 2^{5313668580864} is an apocalyptic number.

5313668580864 is a gapful number since it is divisible by the number (54) 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 5313668580864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9417916902240).

5313668580864 is an abundant number, since it is smaller than the sum of its proper divisors (13522165223616).

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

5313668580864 is a wasteful number, since it uses less digits than its factorization.

5313668580864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 5313668580864 in words is "five trillion, three hundred thirteen billion, six hundred sixty-eight million, five hundred eighty thousand, eight hundred sixty-four".