10029580288 has 270 divisors, whose sum is σ = 25965029538. Its totient is φ = 3839754240.

The previous prime is 10029580283. The next prime is 10029580291. The reversal of 10029580288 is 88208592001.

It can be written as a sum of positive squares in only one way, i.e., 6943555584 + 3086024704 = 83328^2 + 55552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10029580283) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 323534833 + ... + 323534863.

Almost surely, 2^10029580288 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 10029580288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12982514769).

10029580288 is an abundant number, since it is smaller than the sum of its proper divisors (15935449250).

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

10029580288 is an frugal number, since it uses more digits than its factorization.

10029580288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

The spelling of 10029580288 in words is "ten billion, twenty-nine million, five hundred eighty thousand, two hundred eighty-eight".