125265387456 has 252 divisors, whose sum is σ = 395249400000. Its totient is φ = 37902458880.

The previous prime is 125265387449. The next prime is 125265387493. The reversal of 125265387456 is 654783562521.

125265387456 is a `hidden beast` number, since 1 + 2 + 52 + 6 + 538 + 7 + 4 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87049585 + ... + 87051023.

It is an arithmetic number, because the mean of its divisors is an integer number (1568450000).

Almost surely, 2^125265387456 is an apocalyptic number.

125265387456 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 125265387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197624700000).

125265387456 is an abundant number, since it is smaller than the sum of its proper divisors (269984012544).

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

125265387456 is a wasteful number, since it uses less digits than its factorization.

125265387456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2704 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 125265387456 in words is "one hundred twenty-five billion, two hundred sixty-five million, three hundred eighty-seven thousand, four hundred fifty-six".