13420508073984 has 1040 divisors, whose sum is σ = 45212739464640. Its totient is φ = 3947231969280.

The previous prime is 13420508073983. The next prime is 13420508074031. The reversal of 13420508073984 is 48937080502431.

It is a happy number.

13420508073984 is a `hidden beast` number, since 1 + 3 + 4 + 20 + 508 + 0 + 7 + 39 + 84 = 666.

It is a super-2 number, since 2×13420508073984² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13420508073984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13420508073983) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 32812977972 + ... + 32812978380.

Almost surely, 2^{13420508073984} 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 13420508073984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22606369732320).

13420508073984 is an abundant number, since it is smaller than the sum of its proper divisors (31792231390656).

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

13420508073984 is an frugal number, since it uses more digits than its factorization.

13420508073984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 13420508073984 in words is "thirteen trillion, four hundred twenty billion, five hundred eight million, seventy-three thousand, nine hundred eighty-four".