165966804057600 has 5280 divisors, whose sum is σ = 805372266209280. Its totient is φ = 32912948920320.

The previous prime is 165966804057547. The next prime is 165966804057631. The reversal of 165966804057600 is 6750408669561.

165966804057600 is a `hidden beast` number, since 1 + 6 + 5 + 96 + 6 + 80 + 405 + 7 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 527 ways as a sum of consecutive naturals, for example, 1306825228737 + ... + 1306825228863.

It is an arithmetic number, because the mean of its divisors is an integer number (152532626176).

Almost surely, 2^{165966804057600} is an apocalyptic number.

165966804057600 is a gapful number since it is divisible by the number (10) 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 165966804057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402686133104640).

165966804057600 is an abundant number, since it is smaller than the sum of its proper divisors (639405462151680).

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

165966804057600 is an equidigital number, since it uses as much as digits as its factorization.

165966804057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 165966804057600 in words is "one hundred sixty-five trillion, nine hundred sixty-six billion, eight hundred four million, fifty-seven thousand, six hundred".