78251067441360 has 480 divisors, whose sum is σ = 287463136896000. Its totient is φ = 18918407208960.

The previous prime is 78251067441331. The next prime is 78251067441367. The reversal of 78251067441360 is 6314476015287.

78251067441360 is a `hidden beast` number, since 7 + 8 + 2 + 510 + 67 + 4 + 4 + 1 + 3 + 60 = 666.

It is a super-2 number, since 2×78251067441360² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78251067441297 and 78251067441306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78251067441367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9668977474 + ... + 9668985566.

It is an arithmetic number, because the mean of its divisors is an integer number (598881535200).

Almost surely, 2^{78251067441360} 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 78251067441360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143731568448000).

78251067441360 is an abundant number, since it is smaller than the sum of its proper divisors (209212069454640).

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

78251067441360 is a wasteful number, since it uses less digits than its factorization.

78251067441360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11291 (or 11282 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 78251067441360 in words is "seventy-eight trillion, two hundred fifty-one billion, sixty-seven million, four hundred forty-one thousand, three hundred sixty".