13683536095320 has 3072 divisors, whose sum is σ = 64151377920000. Its totient is φ = 2568674820096.

The previous prime is 13683536095319. The next prime is 13683536095367. The reversal of 13683536095320 is 2359063538631.

13683536095320 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 3 + 5 + 3 + 609 + 5 + 3 + 20 = 666.

13683536095320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 767 ways as a sum of consecutive naturals, for example, 29554073409 + ... + 29554073871.

It is an arithmetic number, because the mean of its divisors is an integer number (20882610000).

Almost surely, 2^{13683536095320} is an apocalyptic number.

13683536095320 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 13683536095320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32075688960000).

13683536095320 is an abundant number, since it is smaller than the sum of its proper divisors (50467841824680).

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

13683536095320 is a wasteful number, since it uses less digits than its factorization.

13683536095320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 13683536095320 in words is "thirteen trillion, six hundred eighty-three billion, five hundred thirty-six million, ninety-five thousand, three hundred twenty".