21945735960 has 128 divisors (see below), whose sum is σ = 67112660160. Its totient is φ = 5739724800.

The previous prime is 21945735953. The next prime is 21945736049. The reversal of 21945735960 is 6953754912.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1578640 + ... + 1592480.

Almost surely, 2^21945735960 is an apocalyptic number.

21945735960 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 21945735960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33556330080).

21945735960 is an abundant number, since it is smaller than the sum of its proper divisors (45166924200).

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

21945735960 is a wasteful number, since it uses less digits than its factorization.

21945735960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14109 (or 14105 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 21945735960 in words is "twenty-one billion, nine hundred forty-five million, seven hundred thirty-five thousand, nine hundred sixty".