125829760716 has 120 divisors (see below), whose sum is σ = 362548294416. Its totient is φ = 37737031680.

The previous prime is 125829760687. The next prime is 125829760717. The reversal of 125829760716 is 617067928521.

125829760716 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 29 + 7 + 607 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (125829760717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163720 + ... + 527696.

Almost surely, 2^125829760716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125829760716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181274147208).

125829760716 is an abundant number, since it is smaller than the sum of its proper divisors (236718533700).

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

125829760716 is a wasteful number, since it uses less digits than its factorization.

125829760716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364101 (or 364090 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 125829760716 in words is "one hundred twenty-five billion, eight hundred twenty-nine million, seven hundred sixty thousand, seven hundred sixteen".