125285671680 has 576 divisors, whose sum is σ = 468331745280. Its totient is φ = 28267315200.

The previous prime is 125285671607. The next prime is 125285671703. The reversal of 125285671680 is 86176582521.

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 63 ways as a sum of consecutive naturals, for example, 29400750 + ... + 29405010.

Almost surely, 2^125285671680 is an apocalyptic number.

125285671680 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 125285671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234165872640).

125285671680 is an abundant number, since it is smaller than the sum of its proper divisors (343046073600).

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

125285671680 is a wasteful number, since it uses less digits than its factorization.

125285671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 125285671680 in words is "one hundred twenty-five billion, two hundred eighty-five million, six hundred seventy-one thousand, six hundred eighty".