125606859840 has 1344 divisors, whose sum is σ = 584174315520. Its totient is φ = 24679157760.

The previous prime is 125606859823. The next prime is 125606859853. The reversal of 125606859840 is 48958606521.

125606859840 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 0 + 6 + 8 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 240165819 + ... + 240166341.

Almost surely, 2^125606859840 is an apocalyptic number.

125606859840 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 125606859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292087157760).

125606859840 is an abundant number, since it is smaller than the sum of its proper divisors (458567455680).

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

125606859840 is a wasteful number, since it uses less digits than its factorization.

125606859840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 125606859840 in words is "one hundred twenty-five billion, six hundred six million, eight hundred fifty-nine thousand, eight hundred forty".