5087717767360 has 224 divisors, whose sum is σ = 12852251615232. Its totient is φ = 1914309365760.

The previous prime is 5087717767357. The next prime is 5087717767417. The reversal of 5087717767360 is 637677177805.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 5087717767292 and 5087717767301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302274145 + ... + 302290975.

Almost surely, 2^{5087717767360} 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 5087717767360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426125807616).

5087717767360 is an abundant number, since it is smaller than the sum of its proper divisors (7764533847872).

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

5087717767360 is a wasteful number, since it uses less digits than its factorization.

5087717767360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17551 (or 17541 counting only the distinct ones).

The product of its (nonzero) digits is 72606240, while the sum is 64.

The spelling of 5087717767360 in words is "five trillion, eighty-seven billion, seven hundred seventeen million, seven hundred sixty-seven thousand, three hundred sixty".