21882594960 has 640 divisors, whose sum is σ = 82280448000. Its totient is φ = 5331916800.

The previous prime is 21882594959. The next prime is 21882594961. The reversal of 21882594960 is 6949528812.

It is a happy number.

21882594960 is a `hidden beast` number, since 21 + 8 + 82 + 59 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21882594959) and next prime (21882594961).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21882594897 and 21882594906.

It is not an unprimeable number, because it can be changed into a prime (21882594961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114568465 + ... + 114568655.

It is an arithmetic number, because the mean of its divisors is an integer number (128563200).

Almost surely, 2^21882594960 is an apocalyptic number.

21882594960 is a gapful number since it is divisible by the number (20) 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 21882594960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41140224000).

21882594960 is an abundant number, since it is smaller than the sum of its proper divisors (60397853040).

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

21882594960 is a wasteful number, since it uses less digits than its factorization.

21882594960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 21882594960 in words is "twenty-one billion, eight hundred eighty-two million, five hundred ninety-four thousand, nine hundred sixty".