36011966105664 has 560 divisors, whose sum is σ = 118014936830208. Its totient is φ = 10800213000192.

The previous prime is 36011966105653. The next prime is 36011966105669. The reversal of 36011966105664 is 46650166911063.

36011966105664 is a `hidden beast` number, since 3 + 6 + 0 + 1 + 1 + 9 + 66 + 10 + 566 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36011966105664.

It is not an unprimeable number, because it can be changed into a prime (36011966105669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4230227872 + ... + 4230236384.

Almost surely, 2^{36011966105664} is an apocalyptic number.

36011966105664 is a gapful number since it is divisible by the number (34) 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 36011966105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59007468415104).

36011966105664 is an abundant number, since it is smaller than the sum of its proper divisors (82002970724544).

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

36011966105664 is a wasteful number, since it uses less digits than its factorization.

36011966105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10664 (or 10645 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 36011966105664 in words is "thirty-six trillion, eleven billion, nine hundred sixty-six million, one hundred five thousand, six hundred sixty-four".