12987529632 has 576 divisors, whose sum is σ = 48432384000. Its totient is φ = 3325639680.

The previous prime is 12987529631. The next prime is 12987529733. The reversal of 12987529632 is 23692578921.

12987529632 is a `hidden beast` number, since 1 + 2 + 9 + 87 + 529 + 6 + 32 = 666.

It is a super-3 number, since 3×12987529632³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12987529631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65263869 + ... + 65264067.

It is an arithmetic number, because the mean of its divisors is an integer number (84084000).

Almost surely, 2^12987529632 is an apocalyptic number.

12987529632 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 12987529632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24216192000).

12987529632 is an abundant number, since it is smaller than the sum of its proper divisors (35444854368).

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

12987529632 is a wasteful number, since it uses less digits than its factorization.

12987529632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 331 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 12987529632 in words is "twelve billion, nine hundred eighty-seven million, five hundred twenty-nine thousand, six hundred thirty-two".