21904416087552 has 240 divisors, whose sum is σ = 66761711976960. Its totient is φ = 6894644023296.

The previous prime is 21904416087539. The next prime is 21904416087559. The reversal of 21904416087552 is 25578061440912.

21904416087552 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 4 + 4 + 1 + 6 + 0 + 87 + 552 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21904416087559) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26470993 + ... + 27285935.

It is an arithmetic number, because the mean of its divisors is an integer number (278173799904).

Almost surely, 2^{21904416087552} 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 21904416087552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33380855988480).

21904416087552 is an abundant number, since it is smaller than the sum of its proper divisors (44857295889408).

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

21904416087552 is a wasteful number, since it uses less digits than its factorization.

21904416087552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815293 (or 815274 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 21904416087552 in words is "twenty-one trillion, nine hundred four billion, four hundred sixteen million, eighty-seven thousand, five hundred fifty-two".