4528395668160 has 2352 divisors, whose sum is σ = 20411346893760. Its totient is φ = 936285143040.

The previous prime is 4528395668101. The next prime is 4528395668219. The reversal of 4528395668160 is 618665938254.

It is a happy number.

4528395668160 is a `hidden beast` number, since 4 + 5 + 2 + 8 + 3 + 9 + 566 + 8 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4528395668101) and next prime (4528395668219).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 16834184506 + ... + 16834184774.

Almost surely, 2^{4528395668160} is an apocalyptic number.

4528395668160 is a gapful number since it is divisible by the number (40) 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 4528395668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10205673446880).

4528395668160 is an abundant number, since it is smaller than the sum of its proper divisors (15882951225600).

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

4528395668160 is a wasteful number, since it uses less digits than its factorization.

4528395668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 4528395668160 in words is "four trillion, five hundred twenty-eight billion, three hundred ninety-five million, six hundred sixty-eight thousand, one hundred sixty".