78531178133232 has 240 divisors, whose sum is σ = 240156023852160. Its totient is φ = 23757860390400.

The previous prime is 78531178133209. The next prime is 78531178133299. The reversal of 78531178133232 is 23233187113587.

78531178133232 is a `hidden beast` number, since 7 + 8 + 531 + 1 + 7 + 81 + 3 + 3 + 23 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2452014403 + ... + 2452046429.

It is an arithmetic number, because the mean of its divisors is an integer number (1000650099384).

Almost surely, 2^{78531178133232} is an apocalyptic number.

78531178133232 is a gapful number since it is divisible by the number (72) 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 78531178133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120078011926080).

78531178133232 is an abundant number, since it is smaller than the sum of its proper divisors (161624845718928).

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

78531178133232 is a wasteful number, since it uses less digits than its factorization.

78531178133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34572 (or 34563 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 78531178133232 in words is "seventy-eight trillion, five hundred thirty-one billion, one hundred seventy-eight million, one hundred thirty-three thousand, two hundred thirty-two".