13500208520640 has 336 divisors, whose sum is σ = 50455794155520. Its totient is φ = 3300559902720.

The previous prime is 13500208520639. The next prime is 13500208520647. The reversal of 13500208520640 is 4602580200531.

13500208520640 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 0 + 2 + 0 + 8 + 5 + 2 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13500208520595 and 13500208520604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13500208520647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2282944 + ... + 5675583.

Almost surely, 2^{13500208520640} is an apocalyptic number.

13500208520640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13500208520640 is an abundant number, since it is smaller than the sum of its proper divisors (36955585634880).

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

13500208520640 is a wasteful number, since it uses less digits than its factorization.

13500208520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7958600 (or 7958587 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 13500208520640 in words is "thirteen trillion, five hundred billion, two hundred eight million, five hundred twenty thousand, six hundred forty".