12635978164992 has 1944 divisors, whose sum is σ = 50134967588160. Its totient is φ = 3154721955840.

The previous prime is 12635978164987. The next prime is 12635978165033. The reversal of 12635978164992 is 29946187953621.

12635978164992 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 59 + 7 + 81 + 6 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 12635978164992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9787743867 + ... + 9787745157.

Almost surely, 2^{12635978164992} is an apocalyptic number.

12635978164992 is a gapful number since it is divisible by the number (12) 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 12635978164992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25067483794080).

12635978164992 is an abundant number, since it is smaller than the sum of its proper divisors (37498989423168).

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

12635978164992 is a wasteful number, since it uses less digits than its factorization.

12635978164992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1335 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 12635978164992 in words is "twelve trillion, six hundred thirty-five billion, nine hundred seventy-eight million, one hundred sixty-four thousand, nine hundred ninety-two".