8128855344960 has 1792 divisors, whose sum is σ = 36345815040000. Its totient is φ = 1703085834240.

The previous prime is 8128855344949. The next prime is 8128855344971. The reversal of 8128855344960 is 694435588218.

8128855344960 is a `hidden beast` number, since 8 + 1 + 2 + 8 + 8 + 5 + 534 + 4 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8128855344949) and next prime (8128855344971).

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

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1745510952 + ... + 1745515608.

Almost surely, 2^{8128855344960} is an apocalyptic number.

8128855344960 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 8128855344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18172907520000).

8128855344960 is an abundant number, since it is smaller than the sum of its proper divisors (28216959695040).

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

8128855344960 is a wasteful number, since it uses less digits than its factorization.

8128855344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 8128855344960 in words is "eight trillion, one hundred twenty-eight billion, eight hundred fifty-five million, three hundred forty-four thousand, nine hundred sixty".