21880885256880 has 640 divisors, whose sum is σ = 76188163645440. Its totient is φ = 5157734400000.

The previous prime is 21880885256869. The next prime is 21880885256887. The reversal of 21880885256880 is 8865258808812.

It is not an unprimeable number, because it can be changed into a prime (21880885256887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16818512230 + ... + 16818513530.

It is an arithmetic number, because the mean of its divisors is an integer number (119044005696).

Almost surely, 2^{21880885256880} is an apocalyptic number.

21880885256880 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 21880885256880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38094081822720).

21880885256880 is an abundant number, since it is smaller than the sum of its proper divisors (54307278388560).

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

21880885256880 is a wasteful number, since it uses less digits than its factorization.

21880885256880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 157286400, while the sum is 69.

The spelling of 21880885256880 in words is "twenty-one trillion, eight hundred eighty billion, eight hundred eighty-five million, two hundred fifty-six thousand, eight hundred eighty".