21552116390784 has 1536 divisors, whose sum is σ = 77358758400000. Its totient is φ = 5885741740032.

The previous prime is 21552116390747. The next prime is 21552116390809. The reversal of 21552116390784 is 48709361125512.

21552116390784 is a `hidden beast` number, since 2 + 1 + 5 + 521 + 1 + 6 + 39 + 0 + 7 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 21552116390784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108302092317 + ... + 108302092515.

It is an arithmetic number, because the mean of its divisors is an integer number (50363775000).

It is a 1-persistent number, because it is pandigital, but 2⋅21552116390784 = 43104232781568 is not.

Almost surely, 2^{21552116390784} is an apocalyptic number.

21552116390784 is a gapful number since it is divisible by the number (24) 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 21552116390784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38679379200000).

21552116390784 is an abundant number, since it is smaller than the sum of its proper divisors (55806642009216).

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

21552116390784 is a wasteful number, since it uses less digits than its factorization.

21552116390784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 21552116390784 in words is "twenty-one trillion, five hundred fifty-two billion, one hundred sixteen million, three hundred ninety thousand, seven hundred eighty-four".