2985799397760 has 1536 divisors, whose sum is σ = 11519422387200. Its totient is φ = 737381449728.

The previous prime is 2985799397743. The next prime is 2985799397891. The reversal of 2985799397760 is 677939975892.

2985799397760 is a `hidden beast` number, since 2 + 9 + 8 + 579 + 9 + 39 + 7 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 2985799397760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26423003464 + ... + 26423003576.

It is an arithmetic number, because the mean of its divisors is an integer number (7499623950).

Almost surely, 2^{2985799397760} is an apocalyptic number.

2985799397760 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 2985799397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759711193600).

2985799397760 is an abundant number, since it is smaller than the sum of its proper divisors (8533622989440).

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

2985799397760 is a wasteful number, since it uses less digits than its factorization.

2985799397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3240609120, while the sum is 81.

The spelling of 2985799397760 in words is "two trillion, nine hundred eighty-five billion, seven hundred ninety-nine million, three hundred ninety-seven thousand, seven hundred sixty".