2855071416384 has 392 divisors, whose sum is σ = 9586221030720. Its totient is φ = 835335244800.

The previous prime is 2855071416367. The next prime is 2855071416401. The reversal of 2855071416384 is 4836141705582.

It is a happy number.

2855071416384 is a `hidden beast` number, since 2 + 8 + 550 + 7 + 1 + 4 + 1 + 6 + 3 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (2855071416367) and next prime (2855071416401).

It is a super-3 number, since 3×2855071416384³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2855071416384.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14787349 + ... + 14979179.

Almost surely, 2^{2855071416384} is an apocalyptic number.

2855071416384 is a gapful number since it is divisible by the number (24) 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 2855071416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4793110515360).

2855071416384 is an abundant number, since it is smaller than the sum of its proper divisors (6731149614336).

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

2855071416384 is a wasteful number, since it uses less digits than its factorization.

2855071416384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191901 (or 191876 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 2855071416384 in words is "two trillion, eight hundred fifty-five billion, seventy-one million, four hundred sixteen thousand, three hundred eighty-four".