125986580045640 has 2048 divisors, whose sum is σ = 462642388992000. Its totient is φ = 30433148928000.

The previous prime is 125986580045629. The next prime is 125986580045663. The reversal of 125986580045640 is 46540085689521.

125986580045640 is a `hidden beast` number, since 1 + 2 + 5 + 9 + 8 + 6 + 580 + 0 + 4 + 5 + 6 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 992020315257 + ... + 992020315383.

It is an arithmetic number, because the mean of its divisors is an integer number (225899604000).

Almost surely, 2^{125986580045640} is an apocalyptic number.

125986580045640 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 125986580045640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231321194496000).

125986580045640 is an abundant number, since it is smaller than the sum of its proper divisors (336655808946360).

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

125986580045640 is a wasteful number, since it uses less digits than its factorization.

125986580045640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 125986580045640 in words is "one hundred twenty-five trillion, nine hundred eighty-six billion, five hundred eighty million, forty-five thousand, six hundred forty".