13523083591680 has 1920 divisors, whose sum is σ = 55401804057600. Its totient is φ = 3139184885760.

The previous prime is 13523083591663. The next prime is 13523083591769. The reversal of 13523083591680 is 8619538032531.

13523083591680 is a `hidden beast` number, since 1 + 3 + 523 + 0 + 8 + 3 + 59 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190465966045 + ... + 190465966115.

It is an arithmetic number, because the mean of its divisors is an integer number (28855106280).

Almost surely, 2^{13523083591680} is an apocalyptic number.

13523083591680 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 13523083591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27700902028800).

13523083591680 is an abundant number, since it is smaller than the sum of its proper divisors (41878720465920).

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

13523083591680 is an frugal number, since it uses more digits than its factorization.

13523083591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 13523083591680 in words is "thirteen trillion, five hundred twenty-three billion, eighty-three million, five hundred ninety-one thousand, six hundred eighty".