13585956166656 has 352 divisors, whose sum is σ = 41845881017600. Its totient is φ = 4350797660160.

The previous prime is 13585956166649. The next prime is 13585956166663. The reversal of 13585956166656 is 65666165958531.

It is an interprime number because it is at equal distance from previous prime (13585956166649) and next prime (13585956166663).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 72427035 + ... + 72614373.

It is an arithmetic number, because the mean of its divisors is an integer number (118880343800).

Almost surely, 2^{13585956166656} is an apocalyptic number.

13585956166656 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 13585956166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20922940508800).

13585956166656 is an abundant number, since it is smaller than the sum of its proper divisors (28259924850944).

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

13585956166656 is a wasteful number, since it uses less digits than its factorization.

13585956166656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187472 (or 187448 counting only the distinct ones).

The product of its digits is 1049760000, while the sum is 72.

The spelling of 13585956166656 in words is "thirteen trillion, five hundred eighty-five billion, nine hundred fifty-six million, one hundred sixty-six thousand, six hundred fifty-six".