2805998588160 has 576 divisors, whose sum is σ = 9972272040192. Its totient is φ = 669256777728.

The previous prime is 2805998588119. The next prime is 2805998588171. The reversal of 2805998588160 is 618858995082.

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, 103846972 + ... + 103873988.

It is an arithmetic number, because the mean of its divisors is an integer number (17312972292).

Almost surely, 2^{2805998588160} is an apocalyptic number.

2805998588160 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 2805998588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986136020096).

2805998588160 is an abundant number, since it is smaller than the sum of its proper divisors (7166273452032).

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

2805998588160 is a wasteful number, since it uses less digits than its factorization.

2805998588160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27138 (or 27124 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 69.

The spelling of 2805998588160 in words is "two trillion, eight hundred five billion, nine hundred ninety-eight million, five hundred eighty-eight thousand, one hundred sixty".