78139287360 has 280 divisors, whose sum is σ = 290042413056. Its totient is φ = 19931028480.

The previous prime is 78139287329. The next prime is 78139287361. The reversal of 78139287360 is 6378293187.

78139287360 is a `hidden beast` number, since 78 + 139 + 2 + 87 + 360 = 666.

It is a super-2 number, since 2×78139287360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 78139287297 and 78139287306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78139287361) 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 39 ways as a sum of consecutive naturals, for example, 530625 + ... + 661695.

Almost surely, 2^78139287360 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 78139287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145021206528).

78139287360 is an abundant number, since it is smaller than the sum of its proper divisors (211903125696).

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

78139287360 is a wasteful number, since it uses less digits than its factorization.

78139287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131123 (or 131104 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 78139287360 in words is "seventy-eight billion, one hundred thirty-nine million, two hundred eighty-seven thousand, three hundred sixty".