856280601824 has 96 divisors (see below), whose sum is σ = 1817375535360. Its totient is φ = 395829504000.

The previous prime is 856280601797. The next prime is 856280601899. The reversal of 856280601824 is 428106082658.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 31385309 + ... + 31412579.

It is an arithmetic number, because the mean of its divisors is an integer number (18930995160).

Almost surely, 2^856280601824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856280601824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908687767680).

856280601824 is an abundant number, since it is smaller than the sum of its proper divisors (961094933536).

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

856280601824 is a wasteful number, since it uses less digits than its factorization.

856280601824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28544 (or 28536 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 50.

The spelling of 856280601824 in words is "eight hundred fifty-six billion, two hundred eighty million, six hundred one thousand, eight hundred twenty-four".