21624210166560 has 384 divisors, whose sum is σ = 72833018033664. Its totient is φ = 5379616112640.

The previous prime is 21624210166541. The next prime is 21624210166589. The reversal of 21624210166560 is 6566101242612.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2515316182 + ... + 2515324778.

It is an arithmetic number, because the mean of its divisors is an integer number (189669317796).

Almost surely, 2^{21624210166560} is an apocalyptic number.

21624210166560 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 21624210166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36416509016832).

21624210166560 is an abundant number, since it is smaller than the sum of its proper divisors (51208807867104).

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

21624210166560 is a wasteful number, since it uses less digits than its factorization.

21624210166560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14236 (or 14228 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 21624210166560 in words is "twenty-one trillion, six hundred twenty-four billion, two hundred ten million, one hundred sixty-six thousand, five hundred sixty".