125368293960 has 384 divisors, whose sum is σ = 513141108480. Its totient is φ = 25835894784.

The previous prime is 125368293943. The next prime is 125368293961. The reversal of 125368293960 is 69392863521.

125368293960 is a `hidden beast` number, since 12 + 536 + 8 + 2 + 9 + 3 + 96 + 0 = 666.

125368293960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 125368293897 and 125368293906.

It is not an unprimeable number, because it can be changed into a prime (125368293961) 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, 1364182 + ... + 1453178.

It is an arithmetic number, because the mean of its divisors is an integer number (1336304970).

Almost surely, 2^125368293960 is an apocalyptic number.

125368293960 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 125368293960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256570554240).

125368293960 is an abundant number, since it is smaller than the sum of its proper divisors (387772814520).

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

125368293960 is a wasteful number, since it uses less digits than its factorization.

125368293960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89077 (or 89070 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 125368293960 in words is "one hundred twenty-five billion, three hundred sixty-eight million, two hundred ninety-three thousand, nine hundred sixty".