12553508352 has 480 divisors, whose sum is σ = 43327405440. Its totient is φ = 3192913920.

The previous prime is 12553508347. The next prime is 12553508377. The reversal of 12553508352 is 25380535521.

It is a self number, because there is not a number n which added to its sum of digits gives 12553508352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48846208 + ... + 48846464.

It is an arithmetic number, because the mean of its divisors is an integer number (90265428).

Almost surely, 2^12553508352 is an apocalyptic number.

12553508352 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 12553508352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21663702720).

12553508352 is an abundant number, since it is smaller than the sum of its proper divisors (30773897088).

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

12553508352 is a wasteful number, since it uses less digits than its factorization.

12553508352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 12553508352 in words is "twelve billion, five hundred fifty-three million, five hundred eight thousand, three hundred fifty-two".