13523055435420 has 192 divisors, whose sum is σ = 38662237716480. Its totient is φ = 3531010758912.

The previous prime is 13523055435419. The next prime is 13523055435443. The reversal of 13523055435420 is 2453455032531.

13523055435420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 644466249 + ... + 644487231.

It is an arithmetic number, because the mean of its divisors is an integer number (201365821440).

Almost surely, 2^{13523055435420} is an apocalyptic number.

13523055435420 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 13523055435420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19331118858240).

13523055435420 is an abundant number, since it is smaller than the sum of its proper divisors (25139182281060).

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

13523055435420 is a wasteful number, since it uses less digits than its factorization.

13523055435420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22224 (or 22222 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 42.

The spelling of 13523055435420 in words is "thirteen trillion, five hundred twenty-three billion, fifty-five million, four hundred thirty-five thousand, four hundred twenty".