78866002557200 has 120 divisors (see below), whose sum is σ = 190096936413960. Its totient is φ = 31442972774400.

The previous prime is 78866002557163. The next prime is 78866002557227. The reversal of 78866002557200 is 275520066887.

It is a happy number.

78866002557200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 68858928304384 + 10007074252816 = 8298128^2 + 3163396^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1154987060 + ... + 1155055340.

It is an arithmetic number, because the mean of its divisors is an integer number (1584141136783).

Almost surely, 2^{78866002557200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78866002557200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95048468206980).

78866002557200 is an abundant number, since it is smaller than the sum of its proper divisors (111230933856760).

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

78866002557200 is a wasteful number, since it uses less digits than its factorization.

78866002557200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77725 (or 77714 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 56.

The spelling of 78866002557200 in words is "seventy-eight trillion, eight hundred sixty-six billion, two million, five hundred fifty-seven thousand, two hundred".