21207892866264 has 384 divisors, whose sum is σ = 63973308672000. Its totient is φ = 6306066017280.

The previous prime is 21207892866263. The next prime is 21207892866283. The reversal of 21207892866264 is 46266829870212.

21207892866264 is a `hidden beast` number, since 2 + 1 + 20 + 78 + 9 + 286 + 6 + 264 = 666.

It is a super-2 number, since 2×21207892866264² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21207892866263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1581373719 + ... + 1581387129.

It is an arithmetic number, because the mean of its divisors is an integer number (166597158000).

Almost surely, 2^{21207892866264} is an apocalyptic number.

21207892866264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21207892866264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31986654336000).

21207892866264 is an abundant number, since it is smaller than the sum of its proper divisors (42765415805736).

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

21207892866264 is a wasteful number, since it uses less digits than its factorization.

21207892866264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13935 (or 13928 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 21207892866264 in words is "twenty-one trillion, two hundred seven billion, eight hundred ninety-two million, eight hundred sixty-six thousand, two hundred sixty-four".