21868587442944 has 576 divisors, whose sum is σ = 71501572800000. Its totient is φ = 6619209891840.

The previous prime is 21868587442913. The next prime is 21868587442981. The reversal of 21868587442944 is 44924478586812.

21868587442944 is a `hidden beast` number, since 2 + 1 + 8 + 6 + 85 + 87 + 4 + 429 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7692079987 + ... + 7692082829.

It is an arithmetic number, because the mean of its divisors is an integer number (124134675000).

Almost surely, 2^{21868587442944} is an apocalyptic number.

21868587442944 is a gapful number since it is divisible by the number (24) 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 21868587442944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35750786400000).

21868587442944 is an abundant number, since it is smaller than the sum of its proper divisors (49632985357056).

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

21868587442944 is an equidigital number, since it uses as much as digits as its factorization.

21868587442944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 4108 counting only the distinct ones).

The product of its digits is 990904320, while the sum is 72.

The spelling of 21868587442944 in words is "twenty-one trillion, eight hundred sixty-eight billion, five hundred eighty-seven million, four hundred forty-two thousand, nine hundred forty-four".