856161553104 has 1280 divisors, whose sum is σ = 3110200934400. Its totient is φ = 221908377600.

The previous prime is 856161553097. The next prime is 856161553111. The reversal of 856161553104 is 401355161658.

It is a happy number.

856161553104 is a `hidden beast` number, since 8 + 5 + 616 + 15 + 5 + 3 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (856161553097) and next prime (856161553111).

It is a self number, because there is not a number n which added to its sum of digits gives 856161553104.

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 255 ways as a sum of consecutive naturals, for example, 6741429489 + ... + 6741429615.

It is an arithmetic number, because the mean of its divisors is an integer number (2429844480).

Almost surely, 2^856161553104 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 856161553104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555100467200).

856161553104 is an abundant number, since it is smaller than the sum of its proper divisors (2254039381296).

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

856161553104 is a wasteful number, since it uses less digits than its factorization.

856161553104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 856161553104 in words is "eight hundred fifty-six billion, one hundred sixty-one million, five hundred fifty-three thousand, one hundred four".