21565047934080 has 2560 divisors, whose sum is σ = 92582962053120. Its totient is φ = 4682022912000.

The previous prime is 21565047934063. The next prime is 21565047934141. The reversal of 21565047934080 is 8043974056512.

It is a happy number.

21565047934080 is a `hidden beast` number, since 2 + 1 + 5 + 6 + 50 + 479 + 3 + 40 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 169803526977 + ... + 169803527103.

It is an arithmetic number, because the mean of its divisors is an integer number (36165219552).

It is a 1-persistent number, because it is pandigital, but 2⋅21565047934080 = 43130095868160 is not.

Almost surely, 2^{21565047934080} is an apocalyptic number.

21565047934080 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 21565047934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46291481026560).

21565047934080 is an abundant number, since it is smaller than the sum of its proper divisors (71017914119040).

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

21565047934080 is a wasteful number, since it uses less digits than its factorization.

21565047934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 21565047934080 in words is "twenty-one trillion, five hundred sixty-five billion, forty-seven million, nine hundred thirty-four thousand, eighty".