10245832320 has 256 divisors, whose sum is σ = 34154496000. Its totient is φ = 2609418240.

The previous prime is 10245832301. The next prime is 10245832361. The reversal of 10245832320 is 2323854201.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4700991 + ... + 4703169.

It is an arithmetic number, because the mean of its divisors is an integer number (133416000).

Almost surely, 2^10245832320 is an apocalyptic number.

10245832320 is a gapful number since it is divisible by the number (10) 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 10245832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17077248000).

10245832320 is an abundant number, since it is smaller than the sum of its proper divisors (23908663680).

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

10245832320 is a wasteful number, since it uses less digits than its factorization.

10245832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 10245832320 in words is "ten billion, two hundred forty-five million, eight hundred thirty-two thousand, three hundred twenty".