12552168960 has 480 divisors, whose sum is σ = 46765667520. Its totient is φ = 3100114944.

The previous prime is 12552168899. The next prime is 12552168961. The reversal of 12552168960 is 6986125521.

12552168960 is a `hidden beast` number, since 1 + 2 + 5 + 521 + 68 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12552168961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28592421 + ... + 28592859.

It is an arithmetic number, because the mean of its divisors is an integer number (97428474).

Almost surely, 2^12552168960 is an apocalyptic number.

12552168960 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 12552168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23382833760).

12552168960 is an abundant number, since it is smaller than the sum of its proper divisors (34213498560).

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

12552168960 is a wasteful number, since it uses less digits than its factorization.

12552168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

It can be divided in two parts, 125521 and 68960, that added together give a 4-th power (194481 = 21⁴).

The spelling of 12552168960 in words is "twelve billion, five hundred fifty-two million, one hundred sixty-eight thousand, nine hundred sixty".