855388719360 has 1080 divisors, whose sum is σ = 3589356327480. Its totient is φ = 193932361728.

The previous prime is 855388719331. The next prime is 855388719371. The reversal of 855388719360 is 63917883558.

855388719360 is a `hidden beast` number, since 8 + 5 + 5 + 388 + 7 + 193 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 356093853696 + 499294865664 = 596736^2 + 706608^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×855388719360² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 696003226 + ... + 696004454.

It is an arithmetic number, because the mean of its divisors is an integer number (3323478081).

Almost surely, 2^855388719360 is an apocalyptic number.

855388719360 is a gapful number since it is divisible by the number (80) 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 855388719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794678163740).

855388719360 is an abundant number, since it is smaller than the sum of its proper divisors (2733967608120).

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

855388719360 is a wasteful number, since it uses less digits than its factorization.

855388719360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 855388719360 in words is "eight hundred fifty-five billion, three hundred eighty-eight million, seven hundred nineteen thousand, three hundred sixty".