125668838880 has 1536 divisors, whose sum is σ = 537701068800. Its totient is φ = 27094155264.

The previous prime is 125668838879. The next prime is 125668838983. The reversal of 125668838880 is 88838866521.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1295554992 + ... + 1295555088.

It is an arithmetic number, because the mean of its divisors is an integer number (350065800).

Almost surely, 2^125668838880 is an apocalyptic number.

125668838880 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 125668838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268850534400).

125668838880 is an abundant number, since it is smaller than the sum of its proper divisors (412032229920).

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

125668838880 is a wasteful number, since it uses less digits than its factorization.

125668838880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 125668838880 in words is "one hundred twenty-five billion, six hundred sixty-eight million, eight hundred thirty-eight thousand, eight hundred eighty".