78159182882400 has 288 divisors, whose sum is σ = 285177275298720. Its totient is φ = 20658001674240.

The previous prime is 78159182882323. The next prime is 78159182882437. The reversal of 78159182882400 is 428828195187.

78159182882400 is a `hidden beast` number, since 7 + 81 + 59 + 1 + 8 + 28 + 82 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×78159182882400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 13570177 + ... + 18451776.

It is an arithmetic number, because the mean of its divisors is an integer number (990198872565).

Almost surely, 2^{78159182882400} is an apocalyptic number.

It is an amenable number.

78159182882400 is an abundant number, since it is smaller than the sum of its proper divisors (207018092416320).

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

78159182882400 is a wasteful number, since it uses less digits than its factorization.

78159182882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32022095 (or 32022076 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 63.

The spelling of 78159182882400 in words is "seventy-eight trillion, one hundred fifty-nine billion, one hundred eighty-two million, eight hundred eighty-two thousand, four hundred".