21286882344 has 384 divisors, whose sum is σ = 69711667200. Its totient is φ = 5267773440.

The previous prime is 21286882343. The next prime is 21286882361. The reversal of 21286882344 is 44328868212.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21286882293 and 21286882302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21286882343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291601092 + ... + 291601164.

It is an arithmetic number, because the mean of its divisors is an integer number (181540800).

Almost surely, 2^21286882344 is an apocalyptic number.

21286882344 is a gapful number since it is divisible by the number (24) 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 21286882344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34855833600).

21286882344 is an abundant number, since it is smaller than the sum of its proper divisors (48424784856).

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

21286882344 is a wasteful number, since it uses less digits than its factorization.

21286882344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 188 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The spelling of 21286882344 in words is "twenty-one billion, two hundred eighty-six million, eight hundred eighty-two thousand, three hundred forty-four".