2165968512000 has 1760 divisors, whose sum is σ = 8724415924224. Its totient is φ = 532832256000.

The previous prime is 2165968511999. The next prime is 2165968512011. The reversal of 2165968512000 is 2158695612.

2165968512000 is a `hidden beast` number, since 2 + 1 + 6 + 596 + 8 + 51 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7392383854 + ... + 7392384146.

Almost surely, 2^{2165968512000} is an apocalyptic number.

2165968512000 is a gapful number since it is divisible by the number (20) 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 2165968512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362207962112).

2165968512000 is an abundant number, since it is smaller than the sum of its proper divisors (6558447412224).

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

2165968512000 is a wasteful number, since it uses less digits than its factorization.

2165968512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 2165968512000 in words is "two trillion, one hundred sixty-five billion, nine hundred sixty-eight million, five hundred twelve thousand".