125965082880 has 1440 divisors, whose sum is σ = 565085875200. Its totient is φ = 26240827392.

The previous prime is 125965082849. The next prime is 125965082891. The reversal of 125965082880 is 88280569521.

It is a happy number.

125965082880 is a `hidden beast` number, since 1 + 2 + 59 + 6 + 508 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1594494681 + ... + 1594494759.

Almost surely, 2^125965082880 is an apocalyptic number.

125965082880 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 125965082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282542937600).

125965082880 is an abundant number, since it is smaller than the sum of its proper divisors (439120792320).

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

125965082880 is an frugal number, since it uses more digits than its factorization.

125965082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 125965082880 in words is "one hundred twenty-five billion, nine hundred sixty-five million, eighty-two thousand, eight hundred eighty".