21982752000 has 864 divisors, whose sum is σ = 89835467904. Its totient is φ = 5308416000.

The previous prime is 21982751983. The next prime is 21982752017. The reversal of 21982752000 is 25728912.

21982752000 is a `hidden beast` number, since 21 + 98 + 27 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21982751983) and next prime (21982752017).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85535872 + ... + 85536128.

It is an arithmetic number, because the mean of its divisors is an integer number (103976236).

Almost surely, 2^21982752000 is an apocalyptic number.

21982752000 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 21982752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44917733952).

21982752000 is an abundant number, since it is smaller than the sum of its proper divisors (67852715904).

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

21982752000 is an equidigital number, since it uses as much as digits as its factorization.

21982752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 21982752000 in words is "twenty-one billion, nine hundred eighty-two million, seven hundred fifty-two thousand".