12552353520 has 480 divisors, whose sum is σ = 46716652800. Its totient is φ = 2778918912.

The previous prime is 12552353509. The next prime is 12552353531. The reversal of 12552353520 is 2535325521.

It is an interprime number because it is at equal distance from previous prime (12552353509) and next prime (12552353531).

It is a super-3 number, since 3×12552353520³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70124791 + ... + 70124969.

It is an arithmetic number, because the mean of its divisors is an integer number (97326360).

Almost surely, 2^12552353520 is an apocalyptic number.

12552353520 is a gapful number since it is divisible by the number (10) 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 12552353520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23358326400).

12552353520 is an abundant number, since it is smaller than the sum of its proper divisors (34164299280).

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

12552353520 is a wasteful number, since it uses less digits than its factorization.

12552353520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 12552353520 in words is "twelve billion, five hundred fifty-two million, three hundred fifty-three thousand, five hundred twenty".