21495546408960 has 3328 divisors, whose sum is σ = 92076800256000. Its totient is φ = 4767637045248.

The previous prime is 21495546408949. The next prime is 21495546408991. The reversal of 21495546408960 is 6980464559412.

21495546408960 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 5 + 546 + 4 + 0 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 320829050847 + ... + 320829050913.

Almost surely, 2^{21495546408960} is an apocalyptic number.

21495546408960 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 21495546408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46038400128000).

21495546408960 is an abundant number, since it is smaller than the sum of its proper divisors (70581253847040).

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

21495546408960 is an equidigital number, since it uses as much as digits as its factorization.

21495546408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 21495546408960 in words is "twenty-one trillion, four hundred ninety-five billion, five hundred forty-six million, four hundred eight thousand, nine hundred sixty".