10725603256560 has 160 divisors (see below), whose sum is σ = 33353803219968. Its totient is φ = 2851188387840.

The previous prime is 10725603256519. The next prime is 10725603256607. The reversal of 10725603256560 is 6565230652701.

10725603256560 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127051965 + ... + 127136355.

Almost surely, 2^{10725603256560} is an apocalyptic number.

10725603256560 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 10725603256560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16676901609984).

10725603256560 is an abundant number, since it is smaller than the sum of its proper divisors (22628199963408).

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

10725603256560 is a wasteful number, since it uses less digits than its factorization.

10725603256560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86063 (or 86057 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 10725603256560 in words is "ten trillion, seven hundred twenty-five billion, six hundred three million, two hundred fifty-six thousand, five hundred sixty".