123198626511360 has 960 divisors, whose sum is σ = 476578921104000. Its totient is φ = 29229497450496.

The previous prime is 123198626511293. The next prime is 123198626511391. The reversal of 123198626511360 is 63115626891321.

123198626511360 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 9 + 8 + 6 + 265 + 11 + 360 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 123198626511297 and 123198626511306.

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 95 ways as a sum of consecutive naturals, for example, 3475358916 + ... + 3475394364.

It is an arithmetic number, because the mean of its divisors is an integer number (496436376150).

Almost surely, 2^{123198626511360} is an apocalyptic number.

123198626511360 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 123198626511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238289460552000).

123198626511360 is an abundant number, since it is smaller than the sum of its proper divisors (353380294592640).

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

123198626511360 is a wasteful number, since it uses less digits than its factorization.

123198626511360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35981 (or 35962 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 123198626511360 in words is "one hundred twenty-three trillion, one hundred ninety-eight billion, six hundred twenty-six million, five hundred eleven thousand, three hundred sixty".