21131692872672 has 192 divisors, whose sum is σ = 58822785584640. Its totient is φ = 6619501215744.

The previous prime is 21131692872671. The next prime is 21131692872767. The reversal of 21131692872672 is 27627829613112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131692872671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3969881403 + ... + 3969886725.

It is an arithmetic number, because the mean of its divisors is an integer number (306368674920).

Almost surely, 2^{21131692872672} 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 21131692872672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29411392792320).

21131692872672 is an abundant number, since it is smaller than the sum of its proper divisors (37691092711968).

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

21131692872672 is a wasteful number, since it uses less digits than its factorization.

21131692872672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8585 (or 8577 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 57.

The spelling of 21131692872672 in words is "twenty-one trillion, one hundred thirty-one billion, six hundred ninety-two million, eight hundred seventy-two thousand, six hundred seventy-two".