10725182720 has 216 divisors, whose sum is σ = 30042286848. Its totient is φ = 3657830400.

The previous prime is 10725182701. The next prime is 10725182731. The reversal of 10725182720 is 2728152701.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16996805 + ... + 16997435.

Almost surely, 2^10725182720 is an apocalyptic number.

10725182720 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 10725182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15021143424).

10725182720 is an abundant number, since it is smaller than the sum of its proper divisors (19317104128).

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

10725182720 is an equidigital number, since it uses as much as digits as its factorization.

10725182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

The spelling of 10725182720 in words is "ten billion, seven hundred twenty-five million, one hundred eighty-two thousand, seven hundred twenty".