123519898166400 has 960 divisors, whose sum is σ = 459774353808000. Its totient is φ = 32653835182080.

The previous prime is 123519898166369. The next prime is 123519898166407. The reversal of 123519898166400 is 4661898915321.

123519898166400 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 1 + 98 + 9 + 81 + 66 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (123519898166407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14186270847 + ... + 14186279553.

It is an arithmetic number, because the mean of its divisors is an integer number (478931618550).

Almost surely, 2^{123519898166400} is an apocalyptic number.

123519898166400 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 123519898166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229887176904000).

123519898166400 is an abundant number, since it is smaller than the sum of its proper divisors (336254455641600).

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

123519898166400 is a wasteful number, since it uses less digits than its factorization.

123519898166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9211 (or 9185 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 123519898166400 in words is "one hundred twenty-three trillion, five hundred nineteen billion, eight hundred ninety-eight million, one hundred sixty-six thousand, four hundred".