895606566400 has 960 divisors, whose sum is σ = 2986968821760. Its totient is φ = 257989017600.

The previous prime is 895606566223. The next prime is 895606566409. The reversal of 895606566400 is 4665606598.

It is a super-2 number, since 2×895606566400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (895606566409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 613848871 + ... + 613850329.

It is an arithmetic number, because the mean of its divisors is an integer number (3111425856).

Almost surely, 2^895606566400 is an apocalyptic number.

895606566400 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 895606566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493484410880).

895606566400 is an abundant number, since it is smaller than the sum of its proper divisors (2091362255360).

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

895606566400 is a wasteful number, since it uses less digits than its factorization.

895606566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 895606566400 in words is "eight hundred ninety-five billion, six hundred six million, five hundred sixty-six thousand, four hundred".