12955178880 has 640 divisors, whose sum is σ = 55687104000. Its totient is φ = 2803838976.

The previous prime is 12955178869. The next prime is 12955178909. The reversal of 12955178880 is 8887155921.

12955178880 is a `hidden beast` number, since 1 + 2 + 9 + 551 + 7 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 6893781 + ... + 6895659.

It is an arithmetic number, because the mean of its divisors is an integer number (87011100).

Almost surely, 2^12955178880 is an apocalyptic number.

12955178880 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 12955178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27843552000).

12955178880 is an abundant number, since it is smaller than the sum of its proper divisors (42731925120).

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

12955178880 is a wasteful number, since it uses less digits than its factorization.

12955178880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 54.

The spelling of 12955178880 in words is "twelve billion, nine hundred fifty-five million, one hundred seventy-eight thousand, eight hundred eighty".