13540904784 has 360 divisors, whose sum is σ = 43762511520. Its totient is φ = 4049844480.

The previous prime is 13540904771. The next prime is 13540904813. The reversal of 13540904784 is 48740904531.

13540904784 is a `hidden beast` number, since 13 + 540 + 90 + 4 + 7 + 8 + 4 = 666.

13540904784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13540904784² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50337802 + ... + 50338070.

It is an arithmetic number, because the mean of its divisors is an integer number (121562532).

Almost surely, 2^13540904784 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 13540904784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21881255760).

13540904784 is an abundant number, since it is smaller than the sum of its proper divisors (30221606736).

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

13540904784 is a wasteful number, since it uses less digits than its factorization.

13540904784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13540904784 in words is "thirteen billion, five hundred forty million, nine hundred four thousand, seven hundred eighty-four".