8165733120000 has 960 divisors, whose sum is σ = 30610052272800. Its totient is φ = 2176782336000.

The previous prime is 8165733119981. The next prime is 8165733120053. The reversal of 8165733120000 is 213375618.

8165733120000 is a `hidden beast` number, since 81 + 6 + 573 + 3 + 1 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2799358542 + ... + 2799361458.

Almost surely, 2^{8165733120000} is an apocalyptic number.

8165733120000 is a gapful number since it is divisible by the number (80) 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 8165733120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15305026136400).

8165733120000 is an abundant number, since it is smaller than the sum of its proper divisors (22444319152800).

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

8165733120000 is an frugal number, since it uses more digits than its factorization.

8165733120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 8165733120000 its reverse (213375618), we get a palindrome (8165946495618).

The spelling of 8165733120000 in words is "eight trillion, one hundred sixty-five billion, seven hundred thirty-three million, one hundred twenty thousand".