123727752960 has 1152 divisors, whose sum is σ = 499570606080. Its totient is φ = 25478627328.

The previous prime is 123727752949. The next prime is 123727753003. The reversal of 123727752960 is 69257727321.

123727752960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1201240269 + ... + 1201240371.

It is an arithmetic number, because the mean of its divisors is an integer number (433655040).

Almost surely, 2^123727752960 is an apocalyptic number.

123727752960 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 123727752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249785303040).

123727752960 is an abundant number, since it is smaller than the sum of its proper divisors (375842853120).

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

123727752960 is a wasteful number, since it uses less digits than its factorization.

123727752960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 51.

The spelling of 123727752960 in words is "one hundred twenty-three billion, seven hundred twenty-seven million, seven hundred fifty-two thousand, nine hundred sixty".