21290966464320 has 504 divisors, whose sum is σ = 86584871648808. Its totient is φ = 4786725888000.

The previous prime is 21290966464291. The next prime is 21290966464343. The reversal of 21290966464320 is 2346466909212.

21290966464320 is a `hidden beast` number, since 2 + 1 + 2 + 90 + 9 + 66 + 464 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1454204457216 + 19836762007104 = 1205904^2 + 4453848^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7371670 + ... + 9844970.

Almost surely, 2^{21290966464320} is an apocalyptic number.

21290966464320 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 21290966464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43292435824404).

21290966464320 is an abundant number, since it is smaller than the sum of its proper divisors (65293905184488).

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

21290966464320 is a wasteful number, since it uses less digits than its factorization.

21290966464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473399 (or 2473379 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 21290966464320 in words is "twenty-one trillion, two hundred ninety billion, nine hundred sixty-six million, four hundred sixty-four thousand, three hundred twenty".