21963756183552 has 672 divisors, whose sum is σ = 70484667402240. Its totient is φ = 6554847805440.

The previous prime is 21963756183503. The next prime is 21963756183599. The reversal of 21963756183552 is 25538165736912.

21963756183552 is a `hidden beast` number, since 2 + 1 + 9 + 6 + 3 + 7 + 5 + 618 + 3 + 5 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21963756183552.

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, 5506078774 + ... + 5506082762.

It is an arithmetic number, because the mean of its divisors is an integer number (104887897920).

Almost surely, 2^{21963756183552} 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 21963756183552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35242333701120).

21963756183552 is an abundant number, since it is smaller than the sum of its proper divisors (48520911218688).

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

21963756183552 is a wasteful number, since it uses less digits than its factorization.

21963756183552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252 (or 4225 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 21963756183552 in words is "twenty-one trillion, nine hundred sixty-three billion, seven hundred fifty-six million, one hundred eighty-three thousand, five hundred fifty-two".