13513485680640 has 2304 divisors, whose sum is σ = 55802916187200. Its totient is φ = 3014614056960.

The previous prime is 13513485680567. The next prime is 13513485680659. The reversal of 13513485680640 is 4608658431531.

It is a happy number.

13513485680640 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 34 + 8 + 568 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×13513485680640² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 151836917716 + ... + 151836917804.

Almost surely, 2^{13513485680640} is an apocalyptic number.

13513485680640 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 13513485680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27901458093600).

13513485680640 is an abundant number, since it is smaller than the sum of its proper divisors (42289430506560).

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

13513485680640 is a wasteful number, since it uses less digits than its factorization.

13513485680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 13513485680640 in words is "thirteen trillion, five hundred thirteen billion, four hundred eighty-five million, six hundred eighty thousand, six hundred forty".