12552795663408 has 3200 divisors, whose sum is σ = 53987712565248. Its totient is φ = 2709780480000.

The previous prime is 12552795663379. The next prime is 12552795663413. The reversal of 12552795663408 is 80436659725521.

12552795663408 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 27 + 9 + 566 + 3 + 40 + 8 = 666.

12552795663408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 37923853803 + ... + 37923854133.

It is a 1-persistent number, because it is pandigital, but 2⋅12552795663408 = 25105591326816 is not.

Almost surely, 2^{12552795663408} is an apocalyptic number.

12552795663408 is a gapful number since it is divisible by the number (18) 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 12552795663408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26993856282624).

12552795663408 is an abundant number, since it is smaller than the sum of its proper divisors (41434916901840).

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

12552795663408 is a wasteful number, since it uses less digits than its factorization.

12552795663408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 12552795663408 in words is "twelve trillion, five hundred fifty-two billion, seven hundred ninety-five million, six hundred sixty-three thousand, four hundred eight".