891255106560 has 704 divisors, whose sum is σ = 3519294105600. Its totient is φ = 187464941568.

The previous prime is 891255106559. The next prime is 891255106571. The reversal of 891255106560 is 65601552198.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 571683061 + ... + 571684619.

Almost surely, 2^891255106560 is an apocalyptic number.

891255106560 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 891255106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759647052800).

891255106560 is an abundant number, since it is smaller than the sum of its proper divisors (2628038999040).

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

891255106560 is a wasteful number, since it uses less digits than its factorization.

891255106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 48.

The spelling of 891255106560 in words is "eight hundred ninety-one billion, two hundred fifty-five million, one hundred six thousand, five hundred sixty".