123815530160 has 960 divisors, whose sum is σ = 399951544320. Its totient is φ = 34743582720.

The previous prime is 123815530147. The next prime is 123815530193. The reversal of 123815530160 is 61035518321.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 123815530160.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3346365662 + ... + 3346365698.

It is an arithmetic number, because the mean of its divisors is an integer number (416616192).

Almost surely, 2^123815530160 is an apocalyptic number.

123815530160 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 123815530160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199975772160).

123815530160 is an abundant number, since it is smaller than the sum of its proper divisors (276136014160).

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

123815530160 is a wasteful number, since it uses less digits than its factorization.

123815530160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 123815530160 in words is "one hundred twenty-three billion, eight hundred fifteen million, five hundred thirty thousand, one hundred sixty".