895494458880 has 1920 divisors, whose sum is σ = 3982090844160. Its totient is φ = 189510451200.

The previous prime is 895494458857. The next prime is 895494458921. The reversal of 895494458880 is 88854494598.

895494458880 is a `hidden beast` number, since 8 + 9 + 5 + 4 + 94 + 458 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 895494458799 and 895494458808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5930426805 + ... + 5930426955.

It is an arithmetic number, because the mean of its divisors is an integer number (2074005648).

Almost surely, 2^895494458880 is an apocalyptic number.

895494458880 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 895494458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991045422080).

895494458880 is an abundant number, since it is smaller than the sum of its proper divisors (3086596385280).

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

895494458880 is a wasteful number, since it uses less digits than its factorization.

895494458880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 72.

The spelling of 895494458880 in words is "eight hundred ninety-five billion, four hundred ninety-four million, four hundred fifty-eight thousand, eight hundred eighty".