10725723752064 has 96 divisors (see below), whose sum is σ = 30264680385600. Its totient is φ = 3364932907008.

The previous prime is 10725723752057. The next prime is 10725723752071. The reversal of 10725723752064 is 46025732752701.

It is an interprime number because it is at equal distance from previous prime (10725723752057) and next prime (10725723752071).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 10725723751998 and 10725723752016.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 48213544 + ... + 48435495.

It is an arithmetic number, because the mean of its divisors is an integer number (315257087350).

Almost surely, 2^{10725723752064} is an apocalyptic number.

It is an amenable number.

10725723752064 is an abundant number, since it is smaller than the sum of its proper divisors (19538956633536).

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

10725723752064 is an equidigital number, since it uses as much as digits as its factorization.

10725723752064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96649090 (or 96649061 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 51.

The spelling of 10725723752064 in words is "ten trillion, seven hundred twenty-five billion, seven hundred twenty-three million, seven hundred fifty-two thousand, sixty-four".