21885361872192 has 5376 divisors, whose sum is σ = 97136492544000. Its totient is φ = 4635202682880.

The previous prime is 21885361872151. The next prime is 21885361872247. The reversal of 21885361872192 is 29127816358812.

21885361872192 is a `hidden beast` number, since 2 + 1 + 8 + 8 + 5 + 3 + 618 + 7 + 2 + 1 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 591496266798 + ... + 591496266834.

It is an arithmetic number, because the mean of its divisors is an integer number (18068544000).

Almost surely, 2^{21885361872192} 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 21885361872192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48568246272000).

21885361872192 is an abundant number, since it is smaller than the sum of its proper divisors (75251130671808).

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

21885361872192 is a wasteful number, since it uses less digits than its factorization.

21885361872192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 152 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 21885361872192 in words is "twenty-one trillion, eight hundred eighty-five billion, three hundred sixty-one million, eight hundred seventy-two thousand, one hundred ninety-two".