13535986464 has 1152 divisors, whose sum is σ = 56216788992. Its totient is φ = 3090493440.

The previous prime is 13535986459. The next prime is 13535986481. The reversal of 13535986464 is 46468953531.

13535986464 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 598 + 6 + 46 + 4 = 666.

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

Its product of digits (9331200) is a multiple of the sum of its prime divisors (120).

It is a self number, because there is not a number n which added to its sum of digits gives 13535986464.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 287999689 + ... + 287999735.

It is an arithmetic number, because the mean of its divisors is an integer number (48799296).

Almost surely, 2^13535986464 is an apocalyptic number.

13535986464 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 13535986464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28108394496).

13535986464 is an abundant number, since it is smaller than the sum of its proper divisors (42680802528).

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

13535986464 is a wasteful number, since it uses less digits than its factorization.

13535986464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

It can be divided in two parts, 13535 and 986464, that added together give a palindrome (999999).

The spelling of 13535986464 in words is "thirteen billion, five hundred thirty-five million, nine hundred eighty-six thousand, four hundred sixty-four".