10725120000 has 1080 divisors, whose sum is σ = 47397249900. Its totient is φ = 2322432000.

The previous prime is 10725119969. The next prime is 10725120001. The reversal of 10725120000 is 2152701.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10725120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 564479991 + ... + 564480009.

Almost surely, 2^10725120000 is an apocalyptic number.

10725120000 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 10725120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23698624950).

10725120000 is an abundant number, since it is smaller than the sum of its proper divisors (36672129900).

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

10725120000 is an equidigital number, since it uses as much as digits as its factorization.

10725120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

Adding to 10725120000 its reverse (2152701), we get a palindrome (10727272701).

The spelling of 10725120000 in words is "ten billion, seven hundred twenty-five million, one hundred twenty thousand".