13116781633536 has 1792 divisors, whose sum is σ = 50223892561920. Its totient is φ = 3294898421760.

The previous prime is 13116781633507. The next prime is 13116781633561. The reversal of 13116781633536 is 63533618761131.

13116781633536 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 6 + 78 + 1 + 6 + 33 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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

Its product of digits (4898880) is a multiple of the sum of its prime divisors (560).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28452888346 + ... + 28452888806.

It is an arithmetic number, because the mean of its divisors is an integer number (28026725760).

Almost surely, 2^{13116781633536} is an apocalyptic number.

13116781633536 is a gapful number since it is divisible by the number (16) 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 13116781633536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25111946280960).

13116781633536 is an abundant number, since it is smaller than the sum of its proper divisors (37107110928384).

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

13116781633536 is a wasteful number, since it uses less digits than its factorization.

13116781633536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 560 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 13116781633536 in words is "thirteen trillion, one hundred sixteen billion, seven hundred eighty-one million, six hundred thirty-three thousand, five hundred thirty-six".