21872271037344 has 192 divisors, whose sum is σ = 70711951693824. Its totient is φ = 5764617870336.

The previous prime is 21872271037319. The next prime is 21872271037367. The reversal of 21872271037344 is 44373017227812.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12111357 + ... + 13799619.

It is an arithmetic number, because the mean of its divisors is an integer number (368291415072).

Almost surely, 2^{21872271037344} is an apocalyptic number.

21872271037344 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 21872271037344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35355975846912).

21872271037344 is an abundant number, since it is smaller than the sum of its proper divisors (48839680656480).

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

21872271037344 is a wasteful number, since it uses less digits than its factorization.

21872271037344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689779 (or 1689771 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

The spelling of 21872271037344 in words is "twenty-one trillion, eight hundred seventy-two billion, two hundred seventy-one million, thirty-seven thousand, three hundred forty-four".