13084030535904 has 240 divisors, whose sum is σ = 39086997386976. Its totient is φ = 4292725248000.

The previous prime is 13084030535879. The next prime is 13084030535921. The reversal of 13084030535904 is 40953503048031.

13084030535904 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 4 + 0 + 3 + 0 + 53 + 590 + 4 = 666.

It is a super-3 number, since 3×13084030535904³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13084030535904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110544084 + ... + 110662380.

Almost surely, 2^{13084030535904} 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 13084030535904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19543498693488).

13084030535904 is an abundant number, since it is smaller than the sum of its proper divisors (26002966851072).

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

13084030535904 is a wasteful number, since it uses less digits than its factorization.

13084030535904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118991 (or 118974 counting only the distinct ones).

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

The spelling of 13084030535904 in words is "thirteen trillion, eighty-four billion, thirty million, five hundred thirty-five thousand, nine hundred four".