10559986138656 has 576 divisors, whose sum is σ = 32234963523840. Its totient is φ = 3362440273920.

The previous prime is 10559986138609. The next prime is 10559986138703. The reversal of 10559986138656 is 65683168995501.

10559986138656 is a `hidden beast` number, since 1 + 0 + 5 + 59 + 98 + 61 + 386 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (10559986138609) and next prime (10559986138703).

It is a super-2 number, since 2×10559986138656² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 17807733496 + ... + 17807734088.

It is an arithmetic number, because the mean of its divisors is an integer number (55963478340).

Almost surely, 2^{10559986138656} is an apocalyptic number.

10559986138656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10559986138656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16117481761920).

10559986138656 is an abundant number, since it is smaller than the sum of its proper divisors (21674977385184).

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

10559986138656 is a wasteful number, since it uses less digits than its factorization.

10559986138656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 72.

The spelling of 10559986138656 in words is "ten trillion, five hundred fifty-nine billion, nine hundred eighty-six million, one hundred thirty-eight thousand, six hundred fifty-six".