10325583316272 has 240 divisors, whose sum is σ = 32706157862400. Its totient is φ = 2791164096000.

The previous prime is 10325583316241. The next prime is 10325583316289. The reversal of 10325583316272 is 27261338552301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33406854 + ... + 33714522.

It is an arithmetic number, because the mean of its divisors is an integer number (136275657760).

Almost surely, 2^{10325583316272} is an apocalyptic number.

10325583316272 is a gapful number since it is divisible by the number (12) 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 10325583316272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16353078931200).

10325583316272 is an abundant number, since it is smaller than the sum of its proper divisors (22380574546128).

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

10325583316272 is a wasteful number, since it uses less digits than its factorization.

10325583316272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308464 (or 308451 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 10325583316272 in words is "ten trillion, three hundred twenty-five billion, five hundred eighty-three million, three hundred sixteen thousand, two hundred seventy-two".