21344186880 has 280 divisors, whose sum is σ = 76735643292. Its totient is φ = 5691285504.

The previous prime is 21344186879. The next prime is 21344186887. The reversal of 21344186880 is 8868144312.

It can be written as a sum of positive squares in 2 ways, for example, as 20694548736 + 649638144 = 143856^2 + 25488^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21344186887) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1860522 + ... + 1871958.

Almost surely, 2^21344186880 is an apocalyptic number.

21344186880 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 21344186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38367821646).

21344186880 is an abundant number, since it is smaller than the sum of its proper divisors (55391456412).

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

21344186880 is an frugal number, since it uses more digits than its factorization.

21344186880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11478 (or 11447 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 21344186880 in words is "twenty-one billion, three hundred forty-four million, one hundred eighty-six thousand, eight hundred eighty".