20005111772172 has 192 divisors, whose sum is σ = 57812957798400. Its totient is φ = 5945107829760.

The previous prime is 20005111772159. The next prime is 20005111772207. The reversal of 20005111772172 is 27127711150002.

It is a happy number.

20005111772172 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 511 + 1 + 7 + 72 + 1 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 359382022 + ... + 359437682.

It is an arithmetic number, because the mean of its divisors is an integer number (301109155200).

Almost surely, 2^{20005111772172} 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 20005111772172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28906478899200).

20005111772172 is an abundant number, since it is smaller than the sum of its proper divisors (37807846026228).

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

20005111772172 is a wasteful number, since it uses less digits than its factorization.

20005111772172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66013 (or 66005 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 36.

The spelling of 20005111772172 in words is "twenty trillion, five billion, one hundred eleven million, seven hundred seventy-two thousand, one hundred seventy-two".