5587138114560 has 1232 divisors, whose sum is σ = 20980454330880. Its totient is φ = 1425389322240.

The previous prime is 5587138114559. The next prime is 5587138114589. The reversal of 5587138114560 is 654118317855.

5587138114560 is a `hidden beast` number, since 5 + 5 + 8 + 71 + 3 + 8 + 1 + 1 + 4 + 560 = 666.

It is a super-2 number, since 2×5587138114560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5587138114497 and 5587138114506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12612049699 + ... + 12612050141.

Almost surely, 2^{5587138114560} 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 5587138114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10490227165440).

5587138114560 is an abundant number, since it is smaller than the sum of its proper divisors (15393316216320).

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

5587138114560 is a wasteful number, since it uses less digits than its factorization.

5587138114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 5587138114560 in words is "five trillion, five hundred eighty-seven billion, one hundred thirty-eight million, one hundred fourteen thousand, five hundred sixty".