20607313586688 has 560 divisors, whose sum is σ = 66001401550656. Its totient is φ = 6402069135360.

The previous prime is 20607313586647. The next prime is 20607313586701. The reversal of 20607313586688 is 88668531370602.

It is a happy number.

20607313586688 is a `hidden beast` number, since 2 + 0 + 607 + 3 + 13 + 5 + 8 + 6 + 6 + 8 + 8 = 666.

It is a super-2 number, since 2×20607313586688² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 653541483 + ... + 653573013.

Almost surely, 2^{20607313586688} 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 20607313586688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33000700775328).

20607313586688 is an abundant number, since it is smaller than the sum of its proper divisors (45394087963968).

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

20607313586688 is an equidigital number, since it uses as much as digits as its factorization.

20607313586688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31687 (or 31656 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 20607313586688 in words is "twenty trillion, six hundred seven billion, three hundred thirteen million, five hundred eighty-six thousand, six hundred eighty-eight".