21952616112 has 640 divisors, whose sum is σ = 79066368000. Its totient is φ = 5764442112.

The previous prime is 21952616099. The next prime is 21952616141. The reversal of 21952616112 is 21161625912.

21952616112 is a `hidden beast` number, since 2 + 1 + 9 + 526 + 16 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 246658564 + ... + 246658652.

It is an arithmetic number, because the mean of its divisors is an integer number (123541200).

Almost surely, 2^21952616112 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 21952616112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39533184000).

21952616112 is an abundant number, since it is smaller than the sum of its proper divisors (57113751888).

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

21952616112 is an equidigital number, since it uses as much as digits as its factorization.

21952616112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The spelling of 21952616112 in words is "twenty-one billion, nine hundred fifty-two million, six hundred sixteen thousand, one hundred twelve".