21642044336160 has 192 divisors, whose sum is σ = 68336093532672. Its totient is φ = 5757363634176.

The previous prime is 21642044336149. The next prime is 21642044336189. The reversal of 21642044336160 is 6163344024612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1203865092 + ... + 1203883068.

It is an arithmetic number, because the mean of its divisors is an integer number (355917153816).

Almost surely, 2^{21642044336160} is an apocalyptic number.

21642044336160 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 21642044336160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34168046766336).

21642044336160 is an abundant number, since it is smaller than the sum of its proper divisors (46694049196512).

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

21642044336160 is a wasteful number, since it uses less digits than its factorization.

21642044336160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23875 (or 23867 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 21642044336160 in words is "twenty-one trillion, six hundred forty-two billion, forty-four million, three hundred thirty-six thousand, one hundred sixty".