2850679516256 has 288 divisors, whose sum is σ = 7230493172448. Its totient is φ = 1086887854080.

The previous prime is 2850679516231. The next prime is 2850679516337. The reversal of 2850679516256 is 6526159760582.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65401286 + ... + 65444858.

It is an arithmetic number, because the mean of its divisors is an integer number (25105879071).

Almost surely, 2^{2850679516256} is an apocalyptic number.

2850679516256 is a gapful number since it is divisible by the number (26) 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 2850679516256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615246586224).

2850679516256 is an abundant number, since it is smaller than the sum of its proper divisors (4379813656192).

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

2850679516256 is a wasteful number, since it uses less digits than its factorization.

2850679516256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43682 (or 43645 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 62.

The spelling of 2850679516256 in words is "two trillion, eight hundred fifty billion, six hundred seventy-nine million, five hundred sixteen thousand, two hundred fifty-six".