12987977345532 has 288 divisors, whose sum is σ = 40141587333120. Its totient is φ = 3458295751680.

The previous prime is 12987977345507. The next prime is 12987977345569. The reversal of 12987977345532 is 23554377978921.

12987977345532 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 79 + 7 + 73 + 455 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133819182 + ... + 133916202.

Almost surely, 2^{12987977345532} is an apocalyptic number.

12987977345532 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 12987977345532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20070793666560).

12987977345532 is an abundant number, since it is smaller than the sum of its proper divisors (27153609987588).

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

12987977345532 is a wasteful number, since it uses less digits than its factorization.

12987977345532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97513 (or 97508 counting only the distinct ones).

The product of its digits is 800150400, while the sum is 72.

The spelling of 12987977345532 in words is "twelve trillion, nine hundred eighty-seven billion, nine hundred seventy-seven million, three hundred forty-five thousand, five hundred thirty-two".