20129268288 has 112 divisors (see below), whose sum is σ = 54614697984. Its totient is φ = 6540096000.

The previous prime is 20129268281. The next prime is 20129268293. The reversal of 20129268288 is 88286292102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (20129268281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2260581 + ... + 2269467.

It is an arithmetic number, because the mean of its divisors is an integer number (487631232).

Almost surely, 2^20129268288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20129268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27307348992).

20129268288 is an abundant number, since it is smaller than the sum of its proper divisors (34485429696).

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

20129268288 is a wasteful number, since it uses less digits than its factorization.

20129268288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9200 (or 9190 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 20129268288 in words is "twenty billion, one hundred twenty-nine million, two hundred sixty-eight thousand, two hundred eighty-eight".