13835790102016 has 160 divisors (see below), whose sum is σ = 29742808981248. Its totient is φ = 6413862174720.

The previous prime is 13835790101953. The next prime is 13835790102049. The reversal of 13835790102016 is 61020109753831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66229920 + ... + 66438496.

Almost surely, 2^{13835790102016} is an apocalyptic number.

13835790102016 is a gapful number since it is divisible by the number (16) 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 13835790102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871404490624).

13835790102016 is an abundant number, since it is smaller than the sum of its proper divisors (15907018879232).

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

13835790102016 is a wasteful number, since it uses less digits than its factorization.

13835790102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208792 (or 208776 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

Adding to 13835790102016 its reverse (61020109753831), we get a palindrome (74855899855847).

The spelling of 13835790102016 in words is "thirteen trillion, eight hundred thirty-five billion, seven hundred ninety million, one hundred two thousand, sixteen".