12551585411520 has 448 divisors, whose sum is σ = 45016833715200. Its totient is φ = 3291571261440.

The previous prime is 12551585411503. The next prime is 12551585411539. The reversal of 12551585411520 is 2511458515521.

12551585411520 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 1 + 5 + 85 + 41 + 1 + 520 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 243509911 + ... + 243561449.

Almost surely, 2^{12551585411520} is an apocalyptic number.

12551585411520 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 12551585411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22508416857600).

12551585411520 is an abundant number, since it is smaller than the sum of its proper divisors (32465248303680).

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

12551585411520 is a wasteful number, since it uses less digits than its factorization.

12551585411520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52033 (or 52017 counting only the distinct ones).

The product of its (nonzero) digits is 400000, while the sum is 45.

The spelling of 12551585411520 in words is "twelve trillion, five hundred fifty-one billion, five hundred eighty-five million, four hundred eleven thousand, five hundred twenty".