125774268399520 has 192 divisors, whose sum is σ = 324812344671360. Its totient is φ = 45741320368128.

The previous prime is 125774268399509. The next prime is 125774268399539. The reversal of 125774268399520 is 25993862477521.

It is a self number, because there is not a number n which added to its sum of digits gives 125774268399520.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1329307734 + ... + 1329402346.

It is an arithmetic number, because the mean of its divisors is an integer number (1691730961830).

It is a 2-persistent number, because it is pandigital, and so is 2⋅125774268399520 = 251548536799040, but 3⋅125774268399520 = 377322805198560 is not.

Almost surely, 2^{125774268399520} is an apocalyptic number.

125774268399520 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 125774268399520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162406172335680).

125774268399520 is an abundant number, since it is smaller than the sum of its proper divisors (199038076271840).

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

125774268399520 is a wasteful number, since it uses less digits than its factorization.

125774268399520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104247 (or 104239 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 70.

The spelling of 125774268399520 in words is "one hundred twenty-five trillion, seven hundred seventy-four billion, two hundred sixty-eight million, three hundred ninety-nine thousand, five hundred twenty".