855257948160 has 1344 divisors, whose sum is σ = 3576946262400. Its totient is φ = 172417351680.

The previous prime is 855257948143. The next prime is 855257948179. The reversal of 855257948160 is 61849752558.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 855257948094 and 855257948103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2450595666 + ... + 2450596014.

It is an arithmetic number, because the mean of its divisors is an integer number (2661418350).

Almost surely, 2^855257948160 is an apocalyptic number.

855257948160 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 855257948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788473131200).

855257948160 is an abundant number, since it is smaller than the sum of its proper divisors (2721688314240).

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

855257948160 is a wasteful number, since it uses less digits than its factorization.

855257948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 60.

The spelling of 855257948160 in words is "eight hundred fifty-five billion, two hundred fifty-seven million, nine hundred forty-eight thousand, one hundred sixty".