21523386960 has 320 divisors, whose sum is σ = 78268800000. Its totient is φ = 5421427200.

The previous prime is 21523386919. The next prime is 21523386961. The reversal of 21523386960 is 6968332512.

21523386960 is a `hidden beast` number, since 2 + 1 + 523 + 3 + 8 + 69 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21523386961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20478435 + ... + 20479485.

It is an arithmetic number, because the mean of its divisors is an integer number (244590000).

Almost surely, 2^21523386960 is an apocalyptic number.

21523386960 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 21523386960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39134400000).

21523386960 is an abundant number, since it is smaller than the sum of its proper divisors (56745413040).

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

21523386960 is a wasteful number, since it uses less digits than its factorization.

21523386960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 21523386960 in words is "twenty-one billion, five hundred twenty-three million, three hundred eighty-six thousand, nine hundred sixty".