21188042976852 has 120 divisors (see below), whose sum is σ = 55757216259360. Its totient is φ = 7015971816000.

The previous prime is 21188042976809. The next prime is 21188042976869. The reversal of 21188042976852 is 25867924088112.

21188042976852 is a `hidden beast` number, since 2 + 1 + 18 + 80 + 429 + 76 + 8 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21188042976852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30478078 + ... + 31165514.

It is an arithmetic number, because the mean of its divisors is an integer number (464643468828).

Almost surely, 2^{21188042976852} 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 21188042976852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27878608129680).

21188042976852 is an abundant number, since it is smaller than the sum of its proper divisors (34569173282508).

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

21188042976852 is a wasteful number, since it uses less digits than its factorization.

21188042976852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688083 (or 688072 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 21188042976852 in words is "twenty-one trillion, one hundred eighty-eight billion, forty-two million, nine hundred seventy-six thousand, eight hundred fifty-two".