36666165086208 has 1440 divisors, whose sum is σ = 134794697637600. Its totient is φ = 9914517946368.

The previous prime is 36666165086203. The next prime is 36666165086267. The reversal of 36666165086208 is 80268056166663.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (36666165086203) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37529339416 + ... + 37529340392.

It is an arithmetic number, because the mean of its divisors is an integer number (93607428915).

Almost surely, 2^{36666165086208} is an apocalyptic number.

36666165086208 is a gapful number since it is divisible by the number (38) 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 36666165086208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67397348818800).

36666165086208 is an abundant number, since it is smaller than the sum of its proper divisors (98128532551392).

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

36666165086208 is an frugal number, since it uses more digits than its factorization.

36666165086208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 36666165086208 in words is "thirty-six trillion, six hundred sixty-six billion, one hundred sixty-five million, eighty-six thousand, two hundred eight".