13435893504 has 216 divisors, whose sum is σ = 42679308672. Its totient is φ = 4031170560.

The previous prime is 13435893487. The next prime is 13435893533. The reversal of 13435893504 is 40539853431.

13435893504 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 58 + 93 + 504 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13435893504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2607859 + ... + 2613005.

It is an arithmetic number, because the mean of its divisors is an integer number (197589392).

Almost surely, 2^13435893504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13435893504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21339654336).

13435893504 is an abundant number, since it is smaller than the sum of its proper divisors (29243415168).

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

13435893504 is a wasteful number, since it uses less digits than its factorization.

13435893504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5283 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 13435893504 in words is "thirteen billion, four hundred thirty-five million, eight hundred ninety-three thousand, five hundred four".