125968766480 has 80 divisors (see below), whose sum is σ = 310195239984. Its totient is φ = 47409807360.

The previous prime is 125968766479. The next prime is 125968766519. The reversal of 125968766480 is 84667869521.

It can be written as a sum of positive squares in 8 ways, for example, as 18722996224 + 107245770256 = 136832^2 + 327484^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5527910 + ... + 5550650.

Almost surely, 2^125968766480 is an apocalyptic number.

125968766480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125968766480 is an abundant number, since it is smaller than the sum of its proper divisors (184226473504).

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

125968766480 is a wasteful number, since it uses less digits than its factorization.

125968766480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26844 (or 26838 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 62.

The spelling of 125968766480 in words is "one hundred twenty-five billion, nine hundred sixty-eight million, seven hundred sixty-six thousand, four hundred eighty".