78805025050752 has 1536 divisors, whose sum is σ = 320837245747200. Its totient is φ = 17880987893760.

The previous prime is 78805025050729. The next prime is 78805025050799. The reversal of 78805025050752 is 25705052050887.

78805025050752 is a `hidden beast` number, since 7 + 8 + 80 + 5 + 0 + 2 + 5 + 0 + 507 + 52 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39941724838 + ... + 39941726810.

It is an arithmetic number, because the mean of its divisors is an integer number (208878415200).

Almost surely, 2^{78805025050752} is an apocalyptic number.

78805025050752 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 78805025050752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160418622873600).

78805025050752 is an abundant number, since it is smaller than the sum of its proper divisors (242032220696448).

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

78805025050752 is a wasteful number, since it uses less digits than its factorization.

78805025050752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 7840000, while the sum is 54.

The spelling of 78805025050752 in words is "seventy-eight trillion, eight hundred five billion, twenty-five million, fifty thousand, seven hundred fifty-two".