12735602867988 has 864 divisors, whose sum is σ = 44476779110400. Its totient is φ = 3044657790720.

The previous prime is 12735602867971. The next prime is 12735602868019. The reversal of 12735602867988 is 88976820653721.

12735602867988 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 5 + 602 + 8 + 6 + 7 + 9 + 8 + 8 = 666.

It is a super-2 number, since 2×12735602867988² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11546330245 + ... + 11546331347.

It is an arithmetic number, because the mean of its divisors is an integer number (51477753600).

Almost surely, 2^{12735602867988} is an apocalyptic number.

12735602867988 is a gapful number since it is divisible by the number (18) 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 12735602867988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22238389555200).

12735602867988 is an abundant number, since it is smaller than the sum of its proper divisors (31741176242412).

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

12735602867988 is a wasteful number, since it uses less digits than its factorization.

12735602867988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 12735602867988 in words is "twelve trillion, seven hundred thirty-five billion, six hundred two million, eight hundred sixty-seven thousand, nine hundred eighty-eight".