125747995968 has 672 divisors, whose sum is σ = 450949161600. Its totient is φ = 34215616512.

The previous prime is 125747995943. The next prime is 125747995969. The reversal of 125747995968 is 869599747521.

125747995968 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 479 + 95 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 125747995896 and 125747995905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125747995969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203805196 + ... + 203805812.

It is an arithmetic number, because the mean of its divisors is an integer number (671055300).

Almost surely, 2^125747995968 is an apocalyptic number.

125747995968 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 125747995968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225474580800).

125747995968 is an abundant number, since it is smaller than the sum of its proper divisors (325201165632).

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

125747995968 is a wasteful number, since it uses less digits than its factorization.

125747995968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 741 counting only the distinct ones).

The product of its digits is 342921600, while the sum is 72.

The spelling of 125747995968 in words is "one hundred twenty-five billion, seven hundred forty-seven million, nine hundred ninety-five thousand, nine hundred sixty-eight".