12087533693376 has 224 divisors, whose sum is σ = 37782861696000. Its totient is φ = 3776298430464.

The previous prime is 12087533693357. The next prime is 12087533693419. The reversal of 12087533693376 is 67339633578021.

12087533693376 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 7 + 533 + 6 + 93 + 3 + 7 + 6 = 666.

It is a super-2 number, since 2×12087533693376² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6160035 + ... + 7881693.

Almost surely, 2^{12087533693376} is an apocalyptic number.

12087533693376 is a gapful number since it is divisible by the number (16) 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 12087533693376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18891430848000).

12087533693376 is an abundant number, since it is smaller than the sum of its proper divisors (25695328002624).

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

12087533693376 is a wasteful number, since it uses less digits than its factorization.

12087533693376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721936 (or 1721920 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 12087533693376 in words is "twelve trillion, eighty-seven billion, five hundred thirty-three million, six hundred ninety-three thousand, three hundred seventy-six".