2985765115200 has 672 divisors, whose sum is σ = 11285344358400. Its totient is φ = 676988928000.

The previous prime is 2985765115189. The next prime is 2985765115213. The reversal of 2985765115200 is 25115675892.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 4018526029 + ... + 4018526771.

It is an arithmetic number, because the mean of its divisors is an integer number (16793667200).

Almost surely, 2^{2985765115200} is an apocalyptic number.

2985765115200 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 2985765115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642672179200).

2985765115200 is an abundant number, since it is smaller than the sum of its proper divisors (8299579243200).

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

2985765115200 is a wasteful number, since it uses less digits than its factorization.

2985765115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 51.

The spelling of 2985765115200 in words is "two trillion, nine hundred eighty-five billion, seven hundred sixty-five million, one hundred fifteen thousand, two hundred".