21759219438880 has 384 divisors, whose sum is σ = 70049918582784. Its totient is φ = 6177237811200.

The previous prime is 21759219438841. The next prime is 21759219438919. The reversal of 21759219438880 is 8883491295712.

It is an interprime number because it is at equal distance from previous prime (21759219438841) and next prime (21759219438919).

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, 4816957 + ... + 8168323.

It is an arithmetic number, because the mean of its divisors is an integer number (182421662976).

Almost surely, 2^{21759219438880} is an apocalyptic number.

21759219438880 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 21759219438880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35024959291392).

21759219438880 is an abundant number, since it is smaller than the sum of its proper divisors (48290699143904).

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

21759219438880 is a wasteful number, since it uses less digits than its factorization.

21759219438880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351448 (or 3351440 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 67.

The spelling of 21759219438880 in words is "twenty-one trillion, seven hundred fifty-nine billion, two hundred nineteen million, four hundred thirty-eight thousand, eight hundred eighty".