125650362240 has 768 divisors, whose sum is σ = 510227827200. Its totient is φ = 29292503040.

The previous prime is 125650362199. The next prime is 125650362251. The reversal of 125650362240 is 42263056521.

125650362240 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 50 + 362 + 240 = 666.

125650362240 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 125650362195 and 125650362204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38411805 + ... + 38415075.

It is an arithmetic number, because the mean of its divisors is an integer number (664359150).

Almost surely, 2^125650362240 is an apocalyptic number.

125650362240 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 125650362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255113913600).

125650362240 is an abundant number, since it is smaller than the sum of its proper divisors (384577464960).

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

125650362240 is a wasteful number, since it uses less digits than its factorization.

125650362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3337 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 125650362240 in words is "one hundred twenty-five billion, six hundred fifty million, three hundred sixty-two thousand, two hundred forty".