10725305552748 has 144 divisors (see below), whose sum is σ = 28086732011520. Its totient is φ = 3448680278400.

The previous prime is 10725305552707. The next prime is 10725305552749. The reversal of 10725305552748 is 84725550352701.

10725305552748 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 530 + 55 + 52 + 7 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10725305552694 and 10725305552703.

It is not an unprimeable number, because it can be changed into a prime (10725305552749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445557553 + ... + 445581623.

It is an arithmetic number, because the mean of its divisors is an integer number (195046750080).

Almost surely, 2^{10725305552748} is an apocalyptic number.

10725305552748 is a gapful number since it is divisible by the number (18) 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 10725305552748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14043366005760).

10725305552748 is an abundant number, since it is smaller than the sum of its proper divisors (17361426458772).

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

10725305552748 is a wasteful number, since it uses less digits than its factorization.

10725305552748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27908 (or 27903 counting only the distinct ones).

The product of its (nonzero) digits is 11760000, while the sum is 54.

The spelling of 10725305552748 in words is "ten trillion, seven hundred twenty-five billion, three hundred five million, five hundred fifty-two thousand, seven hundred forty-eight".