10095315360 has 384 divisors, whose sum is σ = 36898364160. Its totient is φ = 2297757696.

The previous prime is 10095315359. The next prime is 10095315401. The reversal of 10095315360 is 6351359001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6257914 + ... + 6259526.

It is an arithmetic number, because the mean of its divisors is an integer number (96089490).

Almost surely, 2^10095315360 is an apocalyptic number.

10095315360 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 10095315360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18449182080).

10095315360 is an abundant number, since it is smaller than the sum of its proper divisors (26803048800).

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

10095315360 is a wasteful number, since it uses less digits than its factorization.

10095315360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 33.

The spelling of 10095315360 in words is "ten billion, ninety-five million, three hundred fifteen thousand, three hundred sixty".