13503745006320 has 80 divisors (see below), whose sum is σ = 41862006329760. Its totient is φ = 3600964534272.

The previous prime is 13503745006291. The next prime is 13503745006343. The reversal of 13503745006320 is 2360054730531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13503745006320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34561816 + ... + 34950344.

It is an arithmetic number, because the mean of its divisors is an integer number (523275079122).

Almost surely, 2^{13503745006320} is an apocalyptic number.

13503745006320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13503745006320 is an abundant number, since it is smaller than the sum of its proper divisors (28358261323440).

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

13503745006320 is a wasteful number, since it uses less digits than its factorization.

13503745006320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533362 (or 533356 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

Adding to 13503745006320 its reverse (2360054730531), we get a palindrome (15863799736851).

The spelling of 13503745006320 in words is "thirteen trillion, five hundred three billion, seven hundred forty-five million, six thousand, three hundred twenty".