21276871873920 has 384 divisors, whose sum is σ = 79132840768800. Its totient is φ = 5236756807680.

The previous prime is 21276871873913. The next prime is 21276871873951. The reversal of 21276871873920 is 2937817867212.

21276871873920 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 68 + 7 + 187 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103047636 + ... + 1103066924.

Almost surely, 2^{21276871873920} is an apocalyptic number.

21276871873920 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 21276871873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39566420384400).

21276871873920 is an abundant number, since it is smaller than the sum of its proper divisors (57855968894880).

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

21276871873920 is a wasteful number, since it uses less digits than its factorization.

21276871873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34058 (or 34043 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 21276871873920 in words is "twenty-one trillion, two hundred seventy-six billion, eight hundred seventy-one million, eight hundred seventy-three thousand, nine hundred twenty".