10001725666040 has 64 divisors (see below), whose sum is σ = 23276571514560. Its totient is φ = 3865218094080.

The previous prime is 10001725666027. The next prime is 10001725666043. The reversal of 10001725666040 is 4066652710001.

It is a junction number, because it is equal to n+sod(n) for n = 10001725665985 and 10001725666003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001725666043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29435999 + ... + 29773838.

It is an arithmetic number, because the mean of its divisors is an integer number (363696429915).

Almost surely, 2^{10001725666040} is an apocalyptic number.

10001725666040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001725666040 is an abundant number, since it is smaller than the sum of its proper divisors (13274845848520).

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

10001725666040 is a wasteful number, since it uses less digits than its factorization.

10001725666040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59209992 (or 59209988 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 10001725666040 in words is "ten trillion, one billion, seven hundred twenty-five million, six hundred sixty-six thousand, forty".