21069838944 has 288 divisors, whose sum is σ = 77114419200. Its totient is φ = 5295974400.

The previous prime is 21069838939. The next prime is 21069838969. The reversal of 21069838944 is 44983896012.

21069838944 is a `hidden beast` number, since 210 + 6 + 9 + 8 + 389 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×21069838944² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672132 + ... + 702780.

It is an arithmetic number, because the mean of its divisors is an integer number (267758400).

Almost surely, 2^21069838944 is an apocalyptic number.

21069838944 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 21069838944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38557209600).

21069838944 is an abundant number, since it is smaller than the sum of its proper divisors (56044580256).

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

21069838944 is a wasteful number, since it uses less digits than its factorization.

21069838944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30714 (or 30703 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 21069838944 in words is "twenty-one billion, sixty-nine million, eight hundred thirty-eight thousand, nine hundred forty-four".