125259816960 has 448 divisors, whose sum is σ = 448427612160. Its totient is φ = 33171701760.

The previous prime is 125259816923. The next prime is 125259816991. The reversal of 125259816960 is 69618952521.

125259816960 is a `hidden beast` number, since 12 + 525 + 9 + 8 + 16 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 125259816897 and 125259816906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211230424 + ... + 211231016.

Almost surely, 2^125259816960 is an apocalyptic number.

125259816960 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 125259816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224213806080).

125259816960 is an abundant number, since it is smaller than the sum of its proper divisors (323167795200).

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

125259816960 is an equidigital number, since it uses as much as digits as its factorization.

125259816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 125259816960 in words is "one hundred twenty-five billion, two hundred fifty-nine million, eight hundred sixteen thousand, nine hundred sixty".