21884965380096 has 896 divisors, whose sum is σ = 74913078804480. Its totient is φ = 5526867935232.

The previous prime is 21884965380073. The next prime is 21884965380127. The reversal of 21884965380096 is 69008356948812.

It is a tau number, because it is divible by the number of its divisors (896).

It is a self number, because there is not a number n which added to its sum of digits gives 21884965380096.

It is a congruent number.

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, 8236718800 + ... + 8236721456.

It is an arithmetic number, because the mean of its divisors is an integer number (83608346880).

Almost surely, 2^{21884965380096} is an apocalyptic number.

21884965380096 is a gapful number since it is divisible by the number (26) 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 21884965380096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37456539402240).

21884965380096 is an abundant number, since it is smaller than the sum of its proper divisors (53028113424384).

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

21884965380096 is a wasteful number, since it uses less digits than its factorization.

21884965380096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 69.

The spelling of 21884965380096 in words is "twenty-one trillion, eight hundred eighty-four billion, nine hundred sixty-five million, three hundred eighty thousand, ninety-six".