125767680000 has 640 divisors, whose sum is σ = 442219694400. Its totient is φ = 31719424000.

The previous prime is 125767679951. The next prime is 125767680013. The reversal of 125767680000 is 86767521.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1413119956 + ... + 1413120044.

Almost surely, 2^125767680000 is an apocalyptic number.

125767680000 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 125767680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221109847200).

125767680000 is an abundant number, since it is smaller than the sum of its proper divisors (316452014400).

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

125767680000 is an frugal number, since it uses more digits than its factorization.

125767680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 125767680000 in words is "one hundred twenty-five billion, seven hundred sixty-seven million, six hundred eighty thousand".