125383993056 has 288 divisors, whose sum is σ = 415206425088. Its totient is φ = 35149317120.

The previous prime is 125383993039. The next prime is 125383993069. The reversal of 125383993056 is 650399383521.

125383993056 is a `hidden beast` number, since 1 + 253 + 83 + 9 + 9 + 305 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×125383993056² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125383992993 and 125383993011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61855915 + ... + 61857941.

It is an arithmetic number, because the mean of its divisors is an integer number (1441688976).

Almost surely, 2^125383993056 is an apocalyptic number.

125383993056 is a gapful number since it is divisible by the number (16) 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 125383993056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207603212544).

125383993056 is an abundant number, since it is smaller than the sum of its proper divisors (289822432032).

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

125383993056 is a wasteful number, since it uses less digits than its factorization.

125383993056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 125383993056 in words is "one hundred twenty-five billion, three hundred eighty-three million, nine hundred ninety-three thousand, fifty-six".