21014138880 has 832 divisors, whose sum is σ = 87755097600. Its totient is φ = 4671406080.

The previous prime is 21014138851. The next prime is 21014138897. The reversal of 21014138880 is 8883141012.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 236113876 + ... + 236113964.

Almost surely, 2^21014138880 is an apocalyptic number.

21014138880 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 21014138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43877548800).

21014138880 is an abundant number, since it is smaller than the sum of its proper divisors (66740958720).

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

21014138880 is an equidigital number, since it uses as much as digits as its factorization.

21014138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Adding to 21014138880 its reverse (8883141012), we get a palindrome (29897279892).

The spelling of 21014138880 in words is "twenty-one billion, fourteen million, one hundred thirty-eight thousand, eight hundred eighty".