21895880827392 has 960 divisors, whose sum is σ = 75902401935360. Its totient is φ = 5989153996800.

The previous prime is 21895880827369. The next prime is 21895880827393. The reversal of 21895880827392 is 29372808859812.

21895880827392 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 588 + 0 + 8 + 2 + 7 + 39 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 21895880827392.

It is not an unprimeable number, because it can be changed into a prime (21895880827393) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5570051667 + ... + 5570055597.

It is an arithmetic number, because the mean of its divisors is an integer number (79065002016).

Almost surely, 2^{21895880827392} is an apocalyptic number.

21895880827392 is a gapful number since it is divisible by the number (22) 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 21895880827392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37951200967680).

21895880827392 is an abundant number, since it is smaller than the sum of its proper divisors (54006521107968).

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

21895880827392 is a wasteful number, since it uses less digits than its factorization.

21895880827392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 21895880827392 in words is "twenty-one trillion, eight hundred ninety-five billion, eight hundred eighty million, eight hundred twenty-seven thousand, three hundred ninety-two".