1665775964160 has 2808 divisors, whose sum is σ = 7939529222976. Its totient is φ = 331085905920.

The previous prime is 1665775964159. The next prime is 1665775964161. The reversal of 1665775964160 is 614695775661.

It is a happy number.

1665775964160 is a `hidden beast` number, since 1 + 6 + 6 + 577 + 59 + 6 + 4 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1665775964159) and next prime (1665775964161).

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 (1665775964161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 72425041909 + ... + 72425041931.

It is an arithmetic number, because the mean of its divisors is an integer number (2827467672).

Almost surely, 2^{1665775964160} is an apocalyptic number.

1665775964160 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 1665775964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969764611488).

1665775964160 is an abundant number, since it is smaller than the sum of its proper divisors (6273753258816).

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

1665775964160 is an frugal number, since it uses more digits than its factorization.

1665775964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 1665775964160 in words is "one trillion, six hundred sixty-five billion, seven hundred seventy-five million, nine hundred sixty-four thousand, one hundred sixty".