20111626793664 has 448 divisors, whose sum is σ = 68988090624000. Its totient is φ = 5742988812288.

The previous prime is 20111626793653. The next prime is 20111626793701. The reversal of 20111626793664 is 46639762611102.

It is a happy number.

20111626793664 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 1 + 626 + 7 + 9 + 3 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20111626793664.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1195475557 + ... + 1195492379.

Almost surely, 2^{20111626793664} is an apocalyptic number.

20111626793664 is a gapful number since it is divisible by the number (24) 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 20111626793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34494045312000).

20111626793664 is an abundant number, since it is smaller than the sum of its proper divisors (48876463830336).

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

20111626793664 is a wasteful number, since it uses less digits than its factorization.

20111626793664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18882 (or 18852 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 20111626793664 in words is "twenty trillion, one hundred eleven billion, six hundred twenty-six million, seven hundred ninety-three thousand, six hundred sixty-four".