10725253056 has 168 divisors, whose sum is σ = 35312908800. Its totient is φ = 3048731136.

The previous prime is 10725253003. The next prime is 10725253061. The reversal of 10725253056 is 65035252701.

10725253056 is a `hidden beast` number, since 1 + 0 + 72 + 5 + 2 + 530 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10725253056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 795685 + ... + 809051.

Almost surely, 2^10725253056 is an apocalyptic number.

10725253056 is a gapful number since it is divisible by the number (16) 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 10725253056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17656454400).

10725253056 is an abundant number, since it is smaller than the sum of its proper divisors (24587655744).

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

10725253056 is a wasteful number, since it uses less digits than its factorization.

10725253056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13591 (or 13578 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 10725253056 in words is "ten billion, seven hundred twenty-five million, two hundred fifty-three thousand, fifty-six".