75884378234896 has 135 divisors (see below), whose sum is σ = 187998547175103. Its totient is φ = 29564296829760.

The previous prime is 75884378234893. The next prime is 75884378234909. The reversal of 75884378234896 is 69843287348857.

The square root of 75884378234896 is 8711164.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (75884378234893) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2683024371 + ... + 2683052653.

Almost surely, 2^{75884378234896} is an apocalyptic number.

75884378234896 is the 8711164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75884378234896

75884378234896 is an abundant number, since it is smaller than the sum of its proper divisors (112114168940207).

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

75884378234896 is an frugal number, since it uses more digits than its factorization.

75884378234896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56610 (or 28303 counting only the distinct ones).

The product of its digits is 15606743040, while the sum is 82.

The spelling of 75884378234896 in words is "seventy-five trillion, eight hundred eighty-four billion, three hundred seventy-eight million, two hundred thirty-four thousand, eight hundred ninety-six".