895728165552 has 180 divisors, whose sum is σ = 2763097056720. Its totient is φ = 270674807040.

The previous prime is 895728165529. The next prime is 895728165593. The reversal of 895728165552 is 255561827598.

895728165552 is a `hidden beast` number, since 8 + 9 + 5 + 72 + 8 + 1 + 6 + 5 + 552 = 666.

It is a super-2 number, since 2×895728165552² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 895728165552.

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 35 ways as a sum of consecutive naturals, for example, 6183618 + ... + 6326814.

It is an arithmetic number, because the mean of its divisors is an integer number (15350539204).

Almost surely, 2^895728165552 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 895728165552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381548528360).

895728165552 is an abundant number, since it is smaller than the sum of its proper divisors (1867368891168).

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

895728165552 is a wasteful number, since it uses less digits than its factorization.

895728165552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143592 (or 143572 counting only the distinct ones).

The product of its digits is 60480000, while the sum is 63.

The spelling of 895728165552 in words is "eight hundred ninety-five billion, seven hundred twenty-eight million, one hundred sixty-five thousand, five hundred fifty-two".