123983321626080 has 4608 divisors, whose sum is σ = 580473647308800. Its totient is φ = 24786294865920.

The previous prime is 123983321626057. The next prime is 123983321626121. The reversal of 123983321626080 is 80626123389321.

123983321626080 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 8 + 3 + 3 + 2 + 1 + 626 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 337829214057 + ... + 337829214423.

It is an arithmetic number, because the mean of its divisors is an integer number (125970843600).

Almost surely, 2^{123983321626080} is an apocalyptic number.

123983321626080 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 123983321626080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290236823654400).

123983321626080 is an abundant number, since it is smaller than the sum of its proper divisors (456490325682720).

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

123983321626080 is a wasteful number, since it uses less digits than its factorization.

123983321626080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 123983321626080 in words is "one hundred twenty-three trillion, nine hundred eighty-three billion, three hundred twenty-one million, six hundred twenty-six thousand, eighty".