20005832212272 has 240 divisors, whose sum is σ = 59497516915200. Its totient is φ = 6257576747520.

The previous prime is 20005832212243. The next prime is 20005832212319. The reversal of 20005832212272 is 27221223850002.

20005832212272 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 58 + 322 + 12 + 272 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163849998 + ... + 163972050.

It is an arithmetic number, because the mean of its divisors is an integer number (247906320480).

Almost surely, 2^{20005832212272} 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 20005832212272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29748758457600).

20005832212272 is an abundant number, since it is smaller than the sum of its proper divisors (39491684702928).

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

20005832212272 is a wasteful number, since it uses less digits than its factorization.

20005832212272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122656 (or 122647 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 20005832212272 in words is "twenty trillion, five billion, eight hundred thirty-two million, two hundred twelve thousand, two hundred seventy-two".