13161757585536 has 768 divisors, whose sum is σ = 46376575660800. Its totient is φ = 3661902397440.

The previous prime is 13161757585511. The next prime is 13161757585547. The reversal of 13161757585536 is 63558575716131.

13161757585536 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 1 + 7 + 5 + 75 + 8 + 553 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4533845461 + ... + 4533848363.

It is an arithmetic number, because the mean of its divisors is an integer number (60386166225).

Almost surely, 2^{13161757585536} is an apocalyptic number.

13161757585536 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 13161757585536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23188287830400).

13161757585536 is an abundant number, since it is smaller than the sum of its proper divisors (33214818075264).

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

13161757585536 is a wasteful number, since it uses less digits than its factorization.

13161757585536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3609 counting only the distinct ones).

The product of its digits is 79380000, while the sum is 63.

The spelling of 13161757585536 in words is "thirteen trillion, one hundred sixty-one billion, seven hundred fifty-seven million, five hundred eighty-five thousand, five hundred thirty-six".