21038447738880 has 2880 divisors, whose sum is σ = 91179440142336. Its totient is φ = 4416602112000.

The previous prime is 21038447738813. The next prime is 21038447738887. The reversal of 21038447738880 is 8883774483012.

It is a happy number.

21038447738880 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 8 + 4 + 477 + 3 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is not an unprimeable number, because it can be changed into a prime (21038447738887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134002851762 + ... + 134002851918.

Almost surely, 2^{21038447738880} is an apocalyptic number.

21038447738880 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 21038447738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45589720071168).

21038447738880 is an abundant number, since it is smaller than the sum of its proper divisors (70140992403456).

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

21038447738880 is a wasteful number, since it uses less digits than its factorization.

21038447738880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 21038447738880 in words is "twenty-one trillion, thirty-eight billion, four hundred forty-seven million, seven hundred thirty-eight thousand, eight hundred eighty".