21268314456960 has 64 divisors (see below), whose sum is σ = 67792752337680. Its totient is φ = 5671550521344.

The previous prime is 21268314456953. The next prime is 21268314456989. The reversal of 21268314456960 is 6965441386212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 21268314456960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5538621637 + ... + 5538625476.

Almost surely, 2^{21268314456960} is an apocalyptic number.

21268314456960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21268314456960 is an abundant number, since it is smaller than the sum of its proper divisors (46524437880720).

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

21268314456960 is a wasteful number, since it uses less digits than its factorization.

21268314456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11077247135 (or 11077247123 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 21268314456960 in words is "twenty-one trillion, two hundred sixty-eight billion, three hundred fourteen million, four hundred fifty-six thousand, nine hundred sixty".