78824809512000 has 336 divisors, whose sum is σ = 286591947570864. Its totient is φ = 20675358720000.

The previous prime is 78824809511989. The next prime is 78824809512047. The reversal of 78824809512000 is 21590842887.

78824809512000 is a `hidden beast` number, since 7 + 8 + 82 + 48 + 0 + 9 + 512 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 68464239073344 + 10360570438656 = 8274312^2 + 3218784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4581681 + ... + 13365680.

Almost surely, 2^{78824809512000} is an apocalyptic number.

It is an amenable number.

78824809512000 is an abundant number, since it is smaller than the sum of its proper divisors (207767138058864).

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

78824809512000 is a wasteful number, since it uses less digits than its factorization.

78824809512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17947455 (or 17947432 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 78824809512000 in words is "seventy-eight trillion, eight hundred twenty-four billion, eight hundred nine million, five hundred twelve thousand".