12555164160 has 960 divisors, whose sum is σ = 56762259840. Its totient is φ = 2601123840.

The previous prime is 12555164137. The next prime is 12555164189. The reversal of 12555164160 is 6146155521.

12555164160 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 5 + 1 + 641 + 6 + 0 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37255512 + ... + 37255848.

It is an arithmetic number, because the mean of its divisors is an integer number (59127354).

Almost surely, 2^12555164160 is an apocalyptic number.

12555164160 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 12555164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28381129920).

12555164160 is an abundant number, since it is smaller than the sum of its proper divisors (44207095680).

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

12555164160 is a wasteful number, since it uses less digits than its factorization.

12555164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

It can be divided in two parts, 12555 and 164160, that added together give a triangular number (176715 = T₅₉₄).

The spelling of 12555164160 in words is "twelve billion, five hundred fifty-five million, one hundred sixty-four thousand, one hundred sixty".