2855076384000 has 288 divisors, whose sum is σ = 9515595608064. Its totient is φ = 758747750400.

The previous prime is 2855076383923. The next prime is 2855076384011. The reversal of 2855076384000 is 4836705582.

It is a super-2 number, since 2×2855076384000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28077249 + ... + 28178751.

It is an arithmetic number, because the mean of its divisors is an integer number (33040262528).

Almost surely, 2^{2855076384000} is an apocalyptic number.

2855076384000 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 2855076384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757797804032).

2855076384000 is an abundant number, since it is smaller than the sum of its proper divisors (6660519224064).

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

2855076384000 is a wasteful number, since it uses less digits than its factorization.

2855076384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101830 (or 101806 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 2855076384000 in words is "two trillion, eight hundred fifty-five billion, seventy-six million, three hundred eighty-four thousand".