21541512960 has 864 divisors, whose sum is σ = 89537011200. Its totient is φ = 4720066560.

The previous prime is 21541512943. The next prime is 21541513003. The reversal of 21541512960 is 6921514512.

21541512960 is a `hidden beast` number, since 2 + 1 + 54 + 1 + 512 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55376446 + ... + 55376834.

It is an arithmetic number, because the mean of its divisors is an integer number (103630800).

Almost surely, 2^21541512960 is an apocalyptic number.

21541512960 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 21541512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44768505600).

21541512960 is an abundant number, since it is smaller than the sum of its proper divisors (67995498240).

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

21541512960 is a wasteful number, since it uses less digits than its factorization.

21541512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 21541512960 in words is "twenty-one billion, five hundred forty-one million, five hundred twelve thousand, nine hundred sixty".