13535905033728 has 720 divisors, whose sum is σ = 51411179723904. Its totient is φ = 3515802071040.

The previous prime is 13535905033723. The next prime is 13535905033793. The reversal of 13535905033728 is 82733050953531.

It is a happy number.

13535905033728 is a `hidden beast` number, since 1 + 3 + 53 + 59 + 0 + 503 + 37 + 2 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13535905033723) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66959301 + ... + 67161147.

Almost surely, 2^{13535905033728} is an apocalyptic number.

13535905033728 is a gapful number since it is divisible by the number (18) 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 13535905033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25705589861952).

13535905033728 is an abundant number, since it is smaller than the sum of its proper divisors (37875274690176).

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

13535905033728 is an equidigital number, since it uses as much as digits as its factorization.

13535905033728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201905 (or 201870 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 13535905033728 in words is "thirteen trillion, five hundred thirty-five billion, nine hundred five million, thirty-three thousand, seven hundred twenty-eight".