21611075016960 has 3888 divisors, whose sum is σ = 98163187654896. Its totient is φ = 4344407654400.

The previous prime is 21611075016959. The next prime is 21611075016989. The reversal of 21611075016960 is 6961057011612.

21611075016960 is a `hidden beast` number, since 2 + 16 + 1 + 10 + 7 + 501 + 69 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 154316980224 + 21456758036736 = 392832^2 + 4632144^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 296042123484 + ... + 296042123556.

Almost surely, 2^{21611075016960} is an apocalyptic number.

21611075016960 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 21611075016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49081593827448).

21611075016960 is an abundant number, since it is smaller than the sum of its proper divisors (76552112637936).

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

21611075016960 is a wasteful number, since it uses less digits than its factorization.

21611075016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 21611075016960 in words is "twenty-one trillion, six hundred eleven billion, seventy-five million, sixteen thousand, nine hundred sixty".