13555316079360 has 1152 divisors, whose sum is σ = 56188977868800. Its totient is φ = 3057954324480.

The previous prime is 13555316079289. The next prime is 13555316079367. The reversal of 13555316079360 is 6397061355531.

13555316079360 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 53 + 160 + 79 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×13555316079360² (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 junction number, because it is equal to n+sod(n) for n = 13555316079297 and 13555316079306.

It is not an unprimeable number, because it can be changed into a prime (13555316079367) 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 127 ways as a sum of consecutive naturals, for example, 575170297 + ... + 575193863.

It is an arithmetic number, because the mean of its divisors is an integer number (48775154400).

Almost surely, 2^{13555316079360} is an apocalyptic number.

13555316079360 is a gapful number since it is divisible by the number (10) 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 13555316079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28094488934400).

13555316079360 is an abundant number, since it is smaller than the sum of its proper divisors (42633661789440).

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

13555316079360 is a wasteful number, since it uses less digits than its factorization.

13555316079360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23714 (or 23694 counting only the distinct ones).

The product of its (nonzero) digits is 7654500, while the sum is 54.

The spelling of 13555316079360 in words is "thirteen trillion, five hundred fifty-five billion, three hundred sixteen million, seventy-nine thousand, three hundred sixty".