2145927168000 has 2592 divisors, whose sum is σ = 10181701228608. Its totient is φ = 445906944000.

The previous prime is 2145927167971. The next prime is 2145927168001. The reversal of 2145927168000 is 8617295412.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145927168001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 195084287995 + ... + 195084288005.

It is an arithmetic number, because the mean of its divisors is an integer number (3928125474).

Almost surely, 2^{2145927168000} is an apocalyptic number.

2145927168000 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 2145927168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090850614304).

2145927168000 is an abundant number, since it is smaller than the sum of its proper divisors (8035774060608).

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

2145927168000 is an frugal number, since it uses more digits than its factorization.

2145927168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2145927168000 in words is "two trillion, one hundred forty-five billion, nine hundred twenty-seven million, one hundred sixty-eight thousand".