125956835680 has 144 divisors (see below), whose sum is σ = 336235445280. Its totient is φ = 44484870144.

The previous prime is 125956835651. The next prime is 125956835681. The reversal of 125956835680 is 86538659521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125956835681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520656 + ... + 723184.

It is an arithmetic number, because the mean of its divisors is an integer number (2334968370).

Almost surely, 2^125956835680 is an apocalyptic number.

125956835680 is a gapful number since it is divisible by the number (10) 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 125956835680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168117722640).

125956835680 is an abundant number, since it is smaller than the sum of its proper divisors (210278609600).

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

125956835680 is a wasteful number, since it uses less digits than its factorization.

125956835680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202593 (or 202572 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 58.

The spelling of 125956835680 in words is "one hundred twenty-five billion, nine hundred fifty-six million, eight hundred thirty-five thousand, six hundred eighty".