2045565999360 has 576 divisors, whose sum is σ = 7840422293760. Its totient is φ = 502034595840.

The previous prime is 2045565999283. The next prime is 2045565999403. The reversal of 2045565999360 is 639995655402.

2045565999360 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 5 + 6 + 599 + 9 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155893600 + ... + 155906720.

It is an arithmetic number, because the mean of its divisors is an integer number (13611844260).

Almost surely, 2^{2045565999360} is an apocalyptic number.

2045565999360 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 2045565999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920211146880).

2045565999360 is an abundant number, since it is smaller than the sum of its proper divisors (5794856294400).

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

2045565999360 is a wasteful number, since it uses less digits than its factorization.

2045565999360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13511 (or 13491 counting only the distinct ones).

The product of its (nonzero) digits is 78732000, while the sum is 63.

The spelling of 2045565999360 in words is "two trillion, forty-five billion, five hundred sixty-five million, nine hundred ninety-nine thousand, three hundred sixty".