10348792320 has 160 divisors (see below), whose sum is σ = 34825538880. Its totient is φ = 2614394880.

The previous prime is 10348792319. The next prime is 10348792417. The reversal of 10348792320 is 2329784301.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110460 + ... + 181380.

It is an arithmetic number, because the mean of its divisors is an integer number (217659618).

Almost surely, 2^10348792320 is an apocalyptic number.

10348792320 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 10348792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17412769440).

10348792320 is an abundant number, since it is smaller than the sum of its proper divisors (24476746560).

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

10348792320 is an equidigital number, since it uses as much as digits as its factorization.

10348792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70966 (or 70950 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 10348792320 in words is "ten billion, three hundred forty-eight million, seven hundred ninety-two thousand, three hundred twenty".