12355176960 has 240 divisors, whose sum is σ = 48902870016. Its totient is φ = 2824003584.

The previous prime is 12355176947. The next prime is 12355176997. The reversal of 12355176960 is 6967155321.

12355176960 is a `hidden beast` number, since 1 + 2 + 3 + 551 + 7 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122977 + ... + 199583.

Almost surely, 2^12355176960 is an apocalyptic number.

12355176960 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 12355176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24451435008).

12355176960 is an abundant number, since it is smaller than the sum of its proper divisors (36547693056).

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

12355176960 is an equidigital number, since it uses as much as digits as its factorization.

12355176960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76643 (or 76624 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 12355176960 in words is "twelve billion, three hundred fifty-five million, one hundred seventy-six thousand, nine hundred sixty".