10725333120 has 320 divisors, whose sum is σ = 38482602840. Its totient is φ = 2846638080.

The previous prime is 10725333109. The next prime is 10725333121. The reversal of 10725333120 is 2133352701.

10725333120 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 533 + 3 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6701714496 + 4023618624 = 81864^2 + 63432^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (10725333121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16225590 + ... + 16226250.

Almost surely, 2^10725333120 is an apocalyptic number.

10725333120 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 10725333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19241301420).

10725333120 is an abundant number, since it is smaller than the sum of its proper divisors (27757269720).

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

10725333120 is an equidigital number, since it uses as much as digits as its factorization.

10725333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 984 counting only the distinct ones).

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

Adding to 10725333120 its reverse (2133352701), we get a palindrome (12858685821).

The spelling of 10725333120 in words is "ten billion, seven hundred twenty-five million, three hundred thirty-three thousand, one hundred twenty".