8175428336000 has 128 divisors (see below), whose sum is σ = 20439719820000. Its totient is φ = 3251901081600.

The previous prime is 8175428335981. The next prime is 8175428336011. The reversal of 8175428336000 is 6338245718.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1436726 + ... + 4291274.

Almost surely, 2^{8175428336000} is an apocalyptic number.

8175428336000 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 8175428336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10219859910000).

8175428336000 is an abundant number, since it is smaller than the sum of its proper divisors (12264291484000).

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

8175428336000 is a wasteful number, since it uses less digits than its factorization.

8175428336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854757 (or 2854735 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 8175428336000 in words is "eight trillion, one hundred seventy-five billion, four hundred twenty-eight million, three hundred thirty-six thousand".