10401536766725 has 48 divisors (see below), whose sum is σ = 14721526668240. Its totient is φ = 7222218854400.

The previous prime is 10401536766721. The next prime is 10401536766727. The reversal of 10401536766725 is 52766763510401.

It can be written as a sum of positive squares in 24 ways, for example, as 8497796349604 + 1903740417121 = 2915098^2 + 1379761^2 .

It is not a de Polignac number, because 10401536766725 - 2² = 10401536766721 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401536766721) 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, 4719071 + ... + 6562979.

It is an arithmetic number, because the mean of its divisors is an integer number (306698472255).

Almost surely, 2^{10401536766725} is an apocalyptic number.

It is an amenable number.

10401536766725 is a deficient number, since it is larger than the sum of its proper divisors (4319989901515).

10401536766725 is a wasteful number, since it uses less digits than its factorization.

10401536766725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844970 (or 1844965 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 53.

The spelling of 10401536766725 in words is "ten trillion, four hundred one billion, five hundred thirty-six million, seven hundred sixty-six thousand, seven hundred twenty-five".