5311615680 has 672 divisors, whose sum is σ = 22506432000. Its totient is φ = 1146120192.

The previous prime is 5311615651. The next prime is 5311615691. The reversal of 5311615680 is 865161135.

5311615680 is a `hidden beast` number, since 5 + 31 + 1 + 61 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×5311615680² = 56426522264043724800, 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, 18768819 + ... + 18769101.

Almost surely, 2^5311615680 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 5311615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11253216000).

5311615680 is an abundant number, since it is smaller than the sum of its proper divisors (17194816320).

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

5311615680 is a wasteful number, since it uses less digits than its factorization.

5311615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5311615680 is about 72880.8320479397. The cubic root of 5311615680 is about 1744.7861884757.

The spelling of 5311615680 in words is "five billion, three hundred eleven million, six hundred fifteen thousand, six hundred eighty".