10725607872 has 504 divisors, whose sum is σ = 37794163680. Its totient is φ = 2956124160.

The previous prime is 10725607861. The next prime is 10725607889. The reversal of 10725607872 is 27870652701.

10725607872 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 560 + 7 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120512404 + ... + 120512492.

It is an arithmetic number, because the mean of its divisors is an integer number (74988420).

Almost surely, 2^10725607872 is an apocalyptic number.

10725607872 is a gapful number since it is divisible by the number (12) 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 10725607872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18897081840).

10725607872 is an abundant number, since it is smaller than the sum of its proper divisors (27068555808).

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

10725607872 is an frugal number, since it uses more digits than its factorization.

10725607872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 10725607872 in words is "ten billion, seven hundred twenty-five million, six hundred seven thousand, eight hundred seventy-two".