125612728950 has 96 divisors (see below), whose sum is σ = 317193626880. Its totient is φ = 32889859200.

The previous prime is 125612728889. The next prime is 125612728951. The reversal of 125612728950 is 59827216521.

It is a self number, because there is not a number n which added to its sum of digits gives 125612728950.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125612728951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3105456 + ... + 3145644.

It is an arithmetic number, because the mean of its divisors is an integer number (3304100280).

Almost surely, 2^125612728950 is an apocalyptic number.

125612728950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125612728950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158596813440).

125612728950 is an abundant number, since it is smaller than the sum of its proper divisors (191580897930).

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

125612728950 is a wasteful number, since it uses less digits than its factorization.

125612728950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40582 (or 40577 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 125612728950 in words is "one hundred twenty-five billion, six hundred twelve million, seven hundred twenty-eight thousand, nine hundred fifty".