21417812260992 has 384 divisors, whose sum is σ = 72571980000000. Its totient is φ = 6059952009216.

The previous prime is 21417812260987. The next prime is 21417812261009. The reversal of 21417812260992 is 29906221871412.

21417812260992 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 7 + 8 + 1 + 22 + 609 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40435884 + ... + 40962132.

It is an arithmetic number, because the mean of its divisors is an integer number (188989531250).

Almost surely, 2^{21417812260992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21417812260992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36285990000000).

21417812260992 is an abundant number, since it is smaller than the sum of its proper divisors (51154167739008).

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

21417812260992 is a wasteful number, since it uses less digits than its factorization.

21417812260992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526393 (or 526364 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 21417812260992 in words is "twenty-one trillion, four hundred seventeen billion, eight hundred twelve million, two hundred sixty thousand, nine hundred ninety-two".