78111027360 has 288 divisors, whose sum is σ = 281558204928. Its totient is φ = 19688417280.

The previous prime is 78111027359. The next prime is 78111027361. The reversal of 78111027360 is 6372011187.

It is an interprime number because it is at equal distance from previous prime (78111027359) and next prime (78111027361).

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

It is a super-2 number, since 2×78111027360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (78111027361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1899174 + ... + 1939866.

It is an arithmetic number, because the mean of its divisors is an integer number (977632656).

Almost surely, 2^78111027360 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 78111027360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140779102464).

78111027360 is an abundant number, since it is smaller than the sum of its proper divisors (203447177568).

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

78111027360 is a wasteful number, since it uses less digits than its factorization.

78111027360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40788 (or 40777 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 78111027360 in words is "seventy-eight billion, one hundred eleven million, twenty-seven thousand, three hundred sixty".