21522908160 has 1056 divisors, whose sum is σ = 88697656320. Its totient is φ = 4777574400.

The previous prime is 21522908137. The next prime is 21522908161. The reversal of 21522908160 is 6180922512.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21522908161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352834530 + ... + 352834590.

Almost surely, 2^21522908160 is an apocalyptic number.

21522908160 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 21522908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44348828160).

21522908160 is an abundant number, since it is smaller than the sum of its proper divisors (67174748160).

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

21522908160 is a wasteful number, since it uses less digits than its factorization.

21522908160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 21522908160 in words is "twenty-one billion, five hundred twenty-two million, nine hundred eight thousand, one hundred sixty".