125880065928 has 320 divisors, whose sum is σ = 375814771200. Its totient is φ = 39295549440.

The previous prime is 125880065917. The next prime is 125880066017. The reversal of 125880065928 is 829560088521.

It is a happy number.

125880065928 is a `hidden beast` number, since 1 + 2 + 588 + 0 + 0 + 6 + 59 + 2 + 8 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 191016463 + ... + 191017121.

It is an arithmetic number, because the mean of its divisors is an integer number (1174421160).

Almost surely, 2^125880065928 is an apocalyptic number.

125880065928 is a gapful number since it is divisible by the number (18) 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 125880065928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187907385600).

125880065928 is an abundant number, since it is smaller than the sum of its proper divisors (249934705272).

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

125880065928 is a wasteful number, since it uses less digits than its factorization.

125880065928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 989 counting only the distinct ones).

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

The spelling of 125880065928 in words is "one hundred twenty-five billion, eight hundred eighty million, sixty-five thousand, nine hundred twenty-eight".