21277567894072 has 128 divisors (see below), whose sum is σ = 46113055027200. Its totient is φ = 9015945781248.

The previous prime is 21277567894069. The next prime is 21277567894073. The reversal of 21277567894072 is 27049876577212.

It is a junction number, because it is equal to n+sod(n) for n = 21277567893989 and 21277567894007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21277567894073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3820713304 + ... + 3820718872.

It is an arithmetic number, because the mean of its divisors is an integer number (360258242400).

Almost surely, 2^{21277567894072} is an apocalyptic number.

It is an amenable number.

21277567894072 is an abundant number, since it is smaller than the sum of its proper divisors (24835487133128).

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

21277567894072 is a wasteful number, since it uses less digits than its factorization.

21277567894072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7845 (or 7841 counting only the distinct ones).

The product of its (nonzero) digits is 165957120, while the sum is 67.

The spelling of 21277567894072 in words is "twenty-one trillion, two hundred seventy-seven billion, five hundred sixty-seven million, eight hundred ninety-four thousand, seventy-two".