12933187973055 has 512 divisors, whose sum is σ = 28742784000000. Its totient is φ = 5499035910144.

The previous prime is 12933187973021. The next prime is 12933187973077. The reversal of 12933187973055 is 55037978133921.

12933187973055 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 318 + 7 + 9 + 7 + 305 + 5 = 666.

It is not a de Polignac number, because 12933187973055 - 2¹¹ = 12933187971007 is a prime.

It is a super-2 number, since 2×12933187973055² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 12933187972983 and 12933187973001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 22414536927 + ... + 22414537503.

It is an arithmetic number, because the mean of its divisors is an integer number (56138250000).

Almost surely, 2^{12933187973055} is an apocalyptic number.

12933187973055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12933187973055 is an abundant number, since it is smaller than the sum of its proper divisors (15809596026945).

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

12933187973055 is a wasteful number, since it uses less digits than its factorization.

12933187973055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 12933187973055 in words is "twelve trillion, nine hundred thirty-three billion, one hundred eighty-seven million, nine hundred seventy-three thousand, fifty-five".