10725206660 has 192 divisors, whose sum is σ = 26908277760. Its totient is φ = 3515719680.

The previous prime is 10725206651. The next prime is 10725206663. The reversal of 10725206660 is 6660252701.

10725206660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10725206660.

It is not an unprimeable number, because it can be changed into a prime (10725206663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78286112 + ... + 78286248.

It is an arithmetic number, because the mean of its divisors is an integer number (140147280).

Almost surely, 2^10725206660 is an apocalyptic number.

10725206660 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 10725206660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13454138880).

10725206660 is an abundant number, since it is smaller than the sum of its proper divisors (16183071100).

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

10725206660 is a wasteful number, since it uses less digits than its factorization.

10725206660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 10725206660 in words is "ten billion, seven hundred twenty-five million, two hundred six thousand, six hundred sixty".