123391265760 has 960 divisors, whose sum is σ = 520859953152. Its totient is φ = 26921631744.

The previous prime is 123391265731. The next prime is 123391265773. The reversal of 123391265760 is 67562193321.

123391265760 is a `hidden beast` number, since 1 + 23 + 39 + 1 + 26 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 183344784 + ... + 183345456.

Almost surely, 2^123391265760 is an apocalyptic number.

123391265760 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 123391265760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260429976576).

123391265760 is an abundant number, since it is smaller than the sum of its proper divisors (397468687392).

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

123391265760 is a wasteful number, since it uses less digits than its factorization.

123391265760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 123391265760 in words is "one hundred twenty-three billion, three hundred ninety-one million, two hundred sixty-five thousand, seven hundred sixty".