5186637408960 has 2016 divisors, whose sum is σ = 22061692224000. Its totient is φ = 1113652592640.

The previous prime is 5186637408949. The next prime is 5186637408977. The reversal of 5186637408960 is 698047366815.

5186637408960 is a `hidden beast` number, since 5 + 1 + 86 + 63 + 7 + 408 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×5186637408960² (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 287 ways as a sum of consecutive naturals, for example, 34809646966 + ... + 34809647114.

Almost surely, 2^{5186637408960} 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 5186637408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11030846112000).

5186637408960 is an abundant number, since it is smaller than the sum of its proper divisors (16875054815040).

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

5186637408960 is a wasteful number, since it uses less digits than its factorization.

5186637408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 5186637408960 in words is "five trillion, one hundred eighty-six billion, six hundred thirty-seven million, four hundred eight thousand, nine hundred sixty".