13555583539904 has 224 divisors, whose sum is σ = 32368573181952. Its totient is φ = 5509910016000.

The previous prime is 13555583539903. The next prime is 13555583539913. The reversal of 13555583539904 is 40993538555531.

13555583539904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (13555583539903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692626439 + ... + 692646009.

It is an arithmetic number, because the mean of its divisors is an integer number (144502558848).

Almost surely, 2^{13555583539904} is an apocalyptic number.

13555583539904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13555583539904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16184286590976).

13555583539904 is an abundant number, since it is smaller than the sum of its proper divisors (18812989642048).

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

13555583539904 is a wasteful number, since it uses less digits than its factorization.

13555583539904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20615 (or 20605 counting only the distinct ones).

The product of its (nonzero) digits is 218700000, while the sum is 65.

The spelling of 13555583539904 in words is "thirteen trillion, five hundred fifty-five billion, five hundred eighty-three million, five hundred thirty-nine thousand, nine hundred four".