123423800772960 has 1536 divisors, whose sum is σ = 493842219171840. Its totient is φ = 28606522982400.

The previous prime is 123423800772947. The next prime is 123423800772971. The reversal of 123423800772960 is 69277008324321.

It is a happy number.

123423800772960 is a `hidden beast` number, since 1 + 2 + 342 + 3 + 8 + 0 + 0 + 7 + 7 + 296 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 123423800772897 and 123423800772906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24139211364 + ... + 24139216476.

It is an arithmetic number, because the mean of its divisors is an integer number (321511861440).

Almost surely, 2^{123423800772960} is an apocalyptic number.

123423800772960 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 123423800772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246921109585920).

123423800772960 is an abundant number, since it is smaller than the sum of its proper divisors (370418418398880).

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

123423800772960 is a wasteful number, since it uses less digits than its factorization.

123423800772960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5669 (or 5655 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 123423800772960 in words is "one hundred twenty-three trillion, four hundred twenty-three billion, eight hundred million, seven hundred seventy-two thousand, nine hundred sixty".