855919667603952 has 2160 divisors, whose sum is σ = 3173067120394080. Its totient is φ = 222272453652480.

The previous prime is 855919667603893. The next prime is 855919667603963. The reversal of 855919667603952 is 259306766919558.

855919667603952 is a `hidden beast` number, since 8 + 55 + 91 + 96 + 6 + 7 + 6 + 0 + 395 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 196447018158 + ... + 196447022514.

It is an arithmetic number, because the mean of its divisors is an integer number (1469012555738).

Almost surely, 2^{855919667603952} 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 855919667603952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586533560197040).

855919667603952 is an abundant number, since it is smaller than the sum of its proper divisors (2317147452790128).

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

855919667603952 is a wasteful number, since it uses less digits than its factorization.

855919667603952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4522 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 6613488000, while the sum is 81.

The spelling of 855919667603952 in words is "eight hundred fifty-five trillion, nine hundred nineteen billion, six hundred sixty-seven million, six hundred three thousand, nine hundred fifty-two".