21855744000 has 1040 divisors, whose sum is σ = 89057270016. Its totient is φ = 5308416000.

The previous prime is 21855743999. The next prime is 21855744041. The reversal of 21855744000 is 44755812.

21855744000 is a `hidden beast` number, since 2 + 1 + 85 + 574 + 4 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 705023985 + ... + 705024015.

Almost surely, 2^21855744000 is an apocalyptic number.

21855744000 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 21855744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44528635008).

21855744000 is an abundant number, since it is smaller than the sum of its proper divisors (67201526016).

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

21855744000 is an equidigital number, since it uses as much as digits as its factorization.

21855744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 21855744000 in words is "twenty-one billion, eight hundred fifty-five million, seven hundred forty-four thousand".