12553488864 has 288 divisors, whose sum is σ = 42594080256. Its totient is φ = 3562652160.

The previous prime is 12553488821. The next prime is 12553488877. The reversal of 12553488864 is 46888435521.

12553488864 is a `hidden beast` number, since 1 + 2 + 553 + 4 + 8 + 8 + 86 + 4 = 666.

12553488864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12553488864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9089454 + ... + 9090834.

It is an arithmetic number, because the mean of its divisors is an integer number (147896112).

Almost surely, 2^12553488864 is an apocalyptic number.

12553488864 is a gapful number since it is divisible by the number (14) 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 12553488864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21297040128).

12553488864 is an abundant number, since it is smaller than the sum of its proper divisors (30040591392).

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

12553488864 is a wasteful number, since it uses less digits than its factorization.

12553488864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1560 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 12553488864 in words is "twelve billion, five hundred fifty-three million, four hundred eighty-eight thousand, eight hundred sixty-four".