13385416435020 has 288 divisors, whose sum is σ = 48895203087360. Its totient is φ = 3030929435520.

The previous prime is 13385416435003. The next prime is 13385416435021. The reversal of 13385416435020 is 2053461458331.

13385416435020 is a `hidden beast` number, since 1 + 3 + 3 + 85 + 4 + 1 + 64 + 3 + 502 + 0 = 666.

13385416435020 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 (45).

It is not an unprimeable number, because it can be changed into a prime (13385416435021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 467325 + ... + 5195115.

It is an arithmetic number, because the mean of its divisors is an integer number (169775010720).

Almost surely, 2^{13385416435020} is an apocalyptic number.

13385416435020 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 13385416435020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24447601543680).

13385416435020 is an abundant number, since it is smaller than the sum of its proper divisors (35509786652340).

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

13385416435020 is a wasteful number, since it uses less digits than its factorization.

13385416435020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727930 (or 4727915 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 13385416435020 in words is "thirteen trillion, three hundred eighty-five billion, four hundred sixteen million, four hundred thirty-five thousand, twenty".