20506111627872 has 96 divisors (see below), whose sum is σ = 58785668040960. Its totient is φ = 6220705559040.

The previous prime is 20506111627867. The next prime is 20506111627889. The reversal of 20506111627872 is 27872611160502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20506111627872² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115623922 + ... + 115801137.

It is an arithmetic number, because the mean of its divisors is an integer number (612350708760).

Almost surely, 2^{20506111627872} is an apocalyptic number.

It is an amenable number.

20506111627872 is an abundant number, since it is smaller than the sum of its proper divisors (38279556413088).

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

20506111627872 is a wasteful number, since it uses less digits than its factorization.

20506111627872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231425156 (or 231425148 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 20506111627872 in words is "twenty trillion, five hundred six billion, one hundred eleven million, six hundred twenty-seven thousand, eight hundred seventy-two".