123553110016320 has 448 divisors, whose sum is σ = 421733054545920. Its totient is φ = 30536716419072.

The previous prime is 123553110016313. The next prime is 123553110016321. The reversal of 123553110016320 is 23610011355321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123553110016321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 300686529 + ... + 301097151.

Almost surely, 2^{123553110016320} is an apocalyptic number.

123553110016320 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 123553110016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210866527272960).

123553110016320 is an abundant number, since it is smaller than the sum of its proper divisors (298179944529600).

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

123553110016320 is a wasteful number, since it uses less digits than its factorization.

123553110016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410942 (or 410932 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 123553110016320 in words is "one hundred twenty-three trillion, five hundred fifty-three billion, one hundred ten million, sixteen thousand, three hundred twenty".