21880144000 has 512 divisors, whose sum is σ = 65279934720. Its totient is φ = 7188480000.

The previous prime is 21880143997. The next prime is 21880144021. The reversal of 21880144000 is 44108812.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 21880144000.

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, 167023935 + ... + 167024065.

Almost surely, 2^21880144000 is an apocalyptic number.

21880144000 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 21880144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32639967360).

21880144000 is an abundant number, since it is smaller than the sum of its proper divisors (43399790720).

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

21880144000 is a wasteful number, since it uses less digits than its factorization.

21880144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The spelling of 21880144000 in words is "twenty-one billion, eight hundred eighty million, one hundred forty-four thousand".