12358028160 has 192 divisors, whose sum is σ = 42746633280. Its totient is φ = 3289853952.

The previous prime is 12358028149. The next prime is 12358028167. The reversal of 12358028160 is 6182085321.

It is a happy number.

12358028160 is a `hidden beast` number, since 12 + 3 + 580 + 2 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12358028167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4220617 + ... + 4223543.

It is an arithmetic number, because the mean of its divisors is an integer number (222638715).

Almost surely, 2^12358028160 is an apocalyptic number.

12358028160 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 12358028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373316640).

12358028160 is an abundant number, since it is smaller than the sum of its proper divisors (30388605120).

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

12358028160 is a wasteful number, since it uses less digits than its factorization.

12358028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12358028160 in words is "twelve billion, three hundred fifty-eight million, twenty-eight thousand, one hundred sixty".