13835075904 has 336 divisors, whose sum is σ = 44214678144. Its totient is φ = 4109414400.

The previous prime is 13835075843. The next prime is 13835075923. The reversal of 13835075904 is 40957053831.

13835075904 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 50 + 7 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13835075904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28177099 + ... + 28177589.

It is an arithmetic number, because the mean of its divisors is an integer number (131591304).

Almost surely, 2^13835075904 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 13835075904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22107339072).

13835075904 is an abundant number, since it is smaller than the sum of its proper divisors (30379602240).

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

13835075904 is a wasteful number, since it uses less digits than its factorization.

13835075904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 13835075904 in words is "thirteen billion, eight hundred thirty-five million, seventy-five thousand, nine hundred four".