13420554107904 has 528 divisors, whose sum is σ = 41355353789568. Its totient is φ = 4343925915648.

The previous prime is 13420554107903. The next prime is 13420554107923. The reversal of 13420554107904 is 40970145502431.

13420554107904 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 0 + 554 + 1 + 0 + 7 + 90 + 4 = 666.

It is a super-2 number, since 2×13420554107904² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13420554107904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13420554107903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5919960979 + ... + 5919963245.

Almost surely, 2^{13420554107904} 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 13420554107904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20677676894784).

13420554107904 is an abundant number, since it is smaller than the sum of its proper divisors (27934799681664).

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

13420554107904 is an equidigital number, since it uses as much as digits as its factorization.

13420554107904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 13420554107904 in words is "thirteen trillion, four hundred twenty billion, five hundred fifty-four million, one hundred seven thousand, nine hundred four".