125768381760 has 336 divisors, whose sum is σ = 494842263552. Its totient is φ = 28720742400.

The previous prime is 125768381749. The next prime is 125768381771. The reversal of 125768381760 is 67183867521.

It is a happy number.

125768381760 is a `hidden beast` number, since 1 + 2 + 576 + 8 + 3 + 8 + 1 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (125768381749) and next prime (125768381771).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 125768381697 and 125768381706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29653240 + ... + 29657480.

It is an arithmetic number, because the mean of its divisors is an integer number (1472744832).

Almost surely, 2^125768381760 is an apocalyptic number.

125768381760 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 125768381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247421131776).

125768381760 is an abundant number, since it is smaller than the sum of its proper divisors (369073881792).

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

125768381760 is a wasteful number, since it uses less digits than its factorization.

125768381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

It can be divided in two parts, 125768 and 381760, that added together give a triangular number (507528 = T₁₀₀₇).

The spelling of 125768381760 in words is "one hundred twenty-five billion, seven hundred sixty-eight million, three hundred eighty-one thousand, seven hundred sixty".