12987753552 has 180 divisors, whose sum is σ = 37904954880. Its totient is φ = 4150984320.

The previous prime is 12987753547. The next prime is 12987753607. The reversal of 12987753552 is 25535778921.

12987753552 is a `hidden beast` number, since 1 + 2 + 9 + 87 + 7 + 5 + 3 + 552 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17574399 + ... + 17575137.

Almost surely, 2^12987753552 is an apocalyptic number.

12987753552 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 12987753552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18952477440).

12987753552 is an abundant number, since it is smaller than the sum of its proper divisors (24917201328).

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

12987753552 is a wasteful number, since it uses less digits than its factorization.

12987753552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 902 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 54.

The spelling of 12987753552 in words is "twelve billion, nine hundred eighty-seven million, seven hundred fifty-three thousand, five hundred fifty-two".