10326172896 has 360 divisors, whose sum is σ = 34699591080. Its totient is φ = 2986357248.

The previous prime is 10326172891. The next prime is 10326172973. The reversal of 10326172896 is 69827162301.

10326172896 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 617 + 28 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10326172891) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 81308385 + ... + 81308511.

It is an arithmetic number, because the mean of its divisors is an integer number (96387753).

Almost surely, 2^10326172896 is an apocalyptic number.

10326172896 is a gapful number since it is divisible by the number (16) 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 10326172896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17349795540).

10326172896 is an abundant number, since it is smaller than the sum of its proper divisors (24373418184).

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

10326172896 is a wasteful number, since it uses less digits than its factorization.

10326172896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10326172896 in words is "ten billion, three hundred twenty-six million, one hundred seventy-two thousand, eight hundred ninety-six".