10248313173120 has 2048 divisors, whose sum is σ = 43553562624000. Its totient is φ = 2248468070400.

The previous prime is 10248313173071. The next prime is 10248313173173. The reversal of 10248313173120 is 2137131384201.

10248313173120 is a `hidden beast` number, since 1 + 0 + 2 + 483 + 1 + 3 + 173 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26345277886 + ... + 26345278274.

It is an arithmetic number, because the mean of its divisors is an integer number (21266388000).

Almost surely, 2^{10248313173120} is an apocalyptic number.

10248313173120 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 10248313173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21776781312000).

10248313173120 is an abundant number, since it is smaller than the sum of its proper divisors (33305249450880).

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

10248313173120 is a wasteful number, since it uses less digits than its factorization.

10248313173120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10248313173120 in words is "ten trillion, two hundred forty-eight billion, three hundred thirteen million, one hundred seventy-three thousand, one hundred twenty".