125866515456 has 528 divisors, whose sum is σ = 413895146496. Its totient is φ = 36799488000.

The previous prime is 125866515427. The next prime is 125866515457. The reversal of 125866515456 is 654515668521.

125866515456 is a `hidden beast` number, since 1 + 2 + 5 + 86 + 6 + 515 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125866515457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380261211 + ... + 380261541.

Almost surely, 2^125866515456 is an apocalyptic number.

125866515456 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 125866515456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206947573248).

125866515456 is an abundant number, since it is smaller than the sum of its proper divisors (288028631040).

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

125866515456 is a wasteful number, since it uses less digits than its factorization.

125866515456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 378 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 54.

The spelling of 125866515456 in words is "one hundred twenty-five billion, eight hundred sixty-six million, five hundred fifteen thousand, four hundred fifty-six".