21255957120 has 128 divisors (see below), whose sum is σ = 67821546240. Its totient is φ = 5662552064.

The previous prime is 21255957031. The next prime is 21255957133. The reversal of 21255957120 is 2175955212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2112742 + ... + 2122778.

It is an arithmetic number, because the mean of its divisors is an integer number (529855830).

Almost surely, 2^21255957120 is an apocalyptic number.

21255957120 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 21255957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33910773120).

21255957120 is an abundant number, since it is smaller than the sum of its proper divisors (46565589120).

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

21255957120 is a wasteful number, since it uses less digits than its factorization.

21255957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11162 (or 11150 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 39.

The spelling of 21255957120 in words is "twenty-one billion, two hundred fifty-five million, nine hundred fifty-seven thousand, one hundred twenty".