13878460523520 has 132 divisors (see below), whose sum is σ = 48088504455420. Its totient is φ = 3700922793984.

The previous prime is 13878460523483. The next prime is 13878460523527. The reversal of 13878460523520 is 2532506487831.

13878460523520 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 8 + 4 + 60 + 52 + 3 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3324174925824 + 10554285597696 = 1823232^2 + 3248736^2 .

It is a super-2 number, since 2×13878460523520² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13878460523527) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 150544855 + ... + 150637014.

It is an arithmetic number, because the mean of its divisors is an integer number (364306851935).

Almost surely, 2^{13878460523520} is an apocalyptic number.

13878460523520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13878460523520 is an abundant number, since it is smaller than the sum of its proper divisors (34210043931900).

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

13878460523520 is a wasteful number, since it uses less digits than its factorization.

13878460523520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301181900 (or 301181879 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 13878460523520 in words is "thirteen trillion, eight hundred seventy-eight billion, four hundred sixty million, five hundred twenty-three thousand, five hundred twenty".