10825129680 has 40 divisors (see below), whose sum is σ = 33557902752. Its totient is φ = 2886701184.

The previous prime is 10825129669. The next prime is 10825129681. The reversal of 10825129680 is 8692152801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10825129681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22552114 + ... + 22552593.

Almost surely, 2^10825129680 is an apocalyptic number.

10825129680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10825129680 is an abundant number, since it is smaller than the sum of its proper divisors (22732773072).

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

10825129680 is a wasteful number, since it uses less digits than its factorization.

10825129680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45104723 (or 45104717 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 10825129680 in words is "ten billion, eight hundred twenty-five million, one hundred twenty-nine thousand, six hundred eighty".