13835345420 has 96 divisors (see below), whose sum is σ = 32270192640. Its totient is φ = 4950731520.

The previous prime is 13835345371. The next prime is 13835345423. The reversal of 13835345420 is 2454353831.

It is not an unprimeable number, because it can be changed into a prime (13835345423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1082789 + ... + 1095491.

It is an arithmetic number, because the mean of its divisors is an integer number (336147840).

Almost surely, 2^13835345420 is an apocalyptic number.

13835345420 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 13835345420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16135096320).

13835345420 is an abundant number, since it is smaller than the sum of its proper divisors (18434847220).

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

13835345420 is a wasteful number, since it uses less digits than its factorization.

13835345420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12855 (or 12853 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 13835345420 in words is "thirteen billion, eight hundred thirty-five million, three hundred forty-five thousand, four hundred twenty".