21552100416 has 672 divisors, whose sum is σ = 80642764800. Its totient is φ = 5452876800.

The previous prime is 21552100411. The next prime is 21552100417. The reversal of 21552100416 is 61400125512.

21552100416 is a `hidden beast` number, since 2 + 1 + 552 + 100 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 21552100416.

It is not an unprimeable number, because it can be changed into a prime (21552100411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102142551 + ... + 102142761.

Almost surely, 2^21552100416 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 21552100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40321382400).

21552100416 is an abundant number, since it is smaller than the sum of its proper divisors (59090664384).

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

21552100416 is a wasteful number, since it uses less digits than its factorization.

21552100416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 21552100416 its reverse (61400125512), we get a palindrome (82952225928).

The spelling of 21552100416 in words is "twenty-one billion, five hundred fifty-two million, one hundred thousand, four hundred sixteen".