78058540281120 has 576 divisors, whose sum is σ = 294054368719104. Its totient is φ = 17049103441920.

The previous prime is 78058540281109. The next prime is 78058540281179. The reversal of 78058540281120 is 2118204585087.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1814744734 + ... + 1814787746.

It is an arithmetic number, because the mean of its divisors is an integer number (510511056804).

Almost surely, 2^{78058540281120} is an apocalyptic number.

78058540281120 is a gapful number since it is divisible by the number (70) 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 78058540281120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147027184359552).

78058540281120 is an abundant number, since it is smaller than the sum of its proper divisors (215995828437984).

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

78058540281120 is a wasteful number, since it uses less digits than its factorization.

78058540281120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44105 (or 44074 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 51.

The spelling of 78058540281120 in words is "seventy-eight trillion, fifty-eight billion, five hundred forty million, two hundred eighty-one thousand, one hundred twenty".