21826832924160 has 1080 divisors, whose sum is σ = 88267600308888. Its totient is φ = 4979913523200.

The previous prime is 21826832924153. The next prime is 21826832924207. The reversal of 21826832924160 is 6142923862812.

21826832924160 is a `hidden beast` number, since 2 + 1 + 82 + 68 + 3 + 2 + 92 + 416 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21826832924097 and 21826832924106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 805672215 + ... + 805699305.

Almost surely, 2^{21826832924160} is an apocalyptic number.

21826832924160 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 21826832924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44133800154444).

21826832924160 is an abundant number, since it is smaller than the sum of its proper divisors (66440767384728).

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

21826832924160 is a wasteful number, since it uses less digits than its factorization.

21826832924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27176 (or 27129 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 21826832924160 in words is "twenty-one trillion, eight hundred twenty-six billion, eight hundred thirty-two million, nine hundred twenty-four thousand, one hundred sixty".