2787311420160 has 288 divisors, whose sum is σ = 9107689866240. Its totient is φ = 726301016064.

The previous prime is 2787311420119. The next prime is 2787311420161. The reversal of 2787311420160 is 610241137872.

It is not an unprimeable number, because it can be changed into a prime (2787311420161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29378559 + ... + 29473281.

Almost surely, 2^{2787311420160} is an apocalyptic number.

2787311420160 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 2787311420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553844933120).

2787311420160 is an abundant number, since it is smaller than the sum of its proper divisors (6320378446080).

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

2787311420160 is an equidigital number, since it uses as much as digits as its factorization.

2787311420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94923 (or 94909 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 2787311420160 in words is "two trillion, seven hundred eighty-seven billion, three hundred eleven million, four hundred twenty thousand, one hundred sixty".