13485556440576 has 480 divisors, whose sum is σ = 44445722720256. Its totient is φ = 3898976256000.

The previous prime is 13485556440547. The next prime is 13485556440593. The reversal of 13485556440576 is 67504465558431.

13485556440576 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 5 + 5 + 56 + 4 + 4 + 0 + 576 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 111503850 + ... + 111624726.

Almost surely, 2^{13485556440576} is an apocalyptic number.

13485556440576 is a gapful number since it is divisible by the number (16) 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 13485556440576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22222861360128).

13485556440576 is an abundant number, since it is smaller than the sum of its proper divisors (30960166279680).

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

13485556440576 is a wasteful number, since it uses less digits than its factorization.

13485556440576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121014 (or 120995 counting only the distinct ones).

The product of its (nonzero) digits is 241920000, while the sum is 63.

The spelling of 13485556440576 in words is "thirteen trillion, four hundred eighty-five billion, five hundred fifty-six million, four hundred forty thousand, five hundred seventy-six".