125256350880 has 576 divisors, whose sum is σ = 479169250560. Its totient is φ = 29609459712.

The previous prime is 125256350867. The next prime is 125256350887. The reversal of 125256350880 is 88053652521.

125256350880 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 5 + 63 + 508 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (125256350887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91627957 + ... + 91629323.

It is an arithmetic number, because the mean of its divisors is an integer number (831891060).

Almost surely, 2^125256350880 is an apocalyptic number.

125256350880 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 125256350880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239584625280).

125256350880 is an abundant number, since it is smaller than the sum of its proper divisors (353912899680).

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

125256350880 is a wasteful number, since it uses less digits than its factorization.

125256350880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 125256350880 in words is "one hundred twenty-five billion, two hundred fifty-six million, three hundred fifty thousand, eight hundred eighty".