10323573120 has 896 divisors, whose sum is σ = 44148456000. Its totient is φ = 2257403904.

The previous prime is 10323573053. The next prime is 10323573137. The reversal of 10323573120 is 2137532301.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-3 number, since 3×10323573120³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 94711626 + ... + 94711734.

Almost surely, 2^10323573120 is an apocalyptic number.

10323573120 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 10323573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22074228000).

10323573120 is an abundant number, since it is smaller than the sum of its proper divisors (33824882880).

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

10323573120 is an equidigital number, since it uses as much as digits as its factorization.

10323573120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 10323573120 in words is "ten billion, three hundred twenty-three million, five hundred seventy-three thousand, one hundred twenty".