896564559360 has 160 divisors (see below), whose sum is σ = 2877109424640. Its totient is φ = 238174281728.

The previous prime is 896564559337. The next prime is 896564559487. The reversal of 896564559360 is 63955465698.

896564559360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 896564559291 and 896564559300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1797901 + ... + 2241779.

It is an arithmetic number, because the mean of its divisors is an integer number (17981933904).

Almost surely, 2^896564559360 is an apocalyptic number.

896564559360 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 896564559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438554712320).

896564559360 is an abundant number, since it is smaller than the sum of its proper divisors (1980544865280).

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

896564559360 is a wasteful number, since it uses less digits than its factorization.

896564559360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444168 (or 444152 counting only the distinct ones).

The product of its (nonzero) digits is 209952000, while the sum is 66.

The spelling of 896564559360 in words is "eight hundred ninety-six billion, five hundred sixty-four million, five hundred fifty-nine thousand, three hundred sixty".