13504523320520 has 128 divisors (see below), whose sum is σ = 30902964480000. Its totient is φ = 5310107041536.

The previous prime is 13504523320459. The next prime is 13504523320543. The reversal of 13504523320520 is 2502332540531.

It is a super-2 number, since 2×13504523320520² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4216209239 + ... + 4216212441.

It is an arithmetic number, because the mean of its divisors is an integer number (241429410000).

Almost surely, 2^{13504523320520} is an apocalyptic number.

13504523320520 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 13504523320520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15451482240000).

13504523320520 is an abundant number, since it is smaller than the sum of its proper divisors (17398441159480).

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

13504523320520 is a wasteful number, since it uses less digits than its factorization.

13504523320520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6067 (or 6063 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 13504523320520 in words is "thirteen trillion, five hundred four billion, five hundred twenty-three million, three hundred twenty thousand, five hundred twenty".