21268050874560 has 672 divisors, whose sum is σ = 88596109929600. Its totient is φ = 4579154657280.

The previous prime is 21268050874501. The next prime is 21268050874621. The reversal of 21268050874560 is 6547805086212.

21268050874560 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 8 + 0 + 5 + 0 + 8 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 21268050874497 and 21268050874506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23526606 + ... + 24413874.

It is an arithmetic number, because the mean of its divisors is an integer number (131839449300).

Almost surely, 2^{21268050874560} is an apocalyptic number.

21268050874560 is a gapful number since it is divisible by the number (20) 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 21268050874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44298054964800).

21268050874560 is an abundant number, since it is smaller than the sum of its proper divisors (67328059055040).

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

21268050874560 is a wasteful number, since it uses less digits than its factorization.

21268050874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887369 (or 887356 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 21268050874560 in words is "twenty-one trillion, two hundred sixty-eight billion, fifty million, eight hundred seventy-four thousand, five hundred sixty".