125869040247600 has 540 divisors, whose sum is σ = 473736218070960. Its totient is φ = 30933952358400.

The previous prime is 125869040247571. The next prime is 125869040247607. The reversal of 125869040247600 is 6742040968521.

125869040247600 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 6 + 9 + 0 + 4 + 0 + 24 + 7 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (125869040247607) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 383736466 + ... + 384064334.

It is an arithmetic number, because the mean of its divisors is an integer number (877289292724).

Almost surely, 2^{125869040247600} is an apocalyptic number.

125869040247600 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 125869040247600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236868109035480).

125869040247600 is an abundant number, since it is smaller than the sum of its proper divisors (347867177823360).

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

125869040247600 is a wasteful number, since it uses less digits than its factorization.

125869040247600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328550 (or 328523 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 125869040247600 in words is "one hundred twenty-five trillion, eight hundred sixty-nine billion, forty million, two hundred forty-seven thousand, six hundred".