78285475137168 has 180 divisors, whose sum is σ = 240010570263100. Its totient is φ = 23679568083456.

The previous prime is 78285475137167. The next prime is 78285475137173. The reversal of 78285475137168 is 86173157458287.

78285475137168 is a `hidden beast` number, since 7 + 8 + 2 + 8 + 5 + 47 + 513 + 7 + 1 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26705040606864 + 51580434530304 = 5167692^2 + 7181952^2 .

It is a super-2 number, since 2×78285475137168² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 78285475137096 and 78285475137105.

It is not an unprimeable number, because it can be changed into a prime (78285475137167) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 509658 + ... + 12523206.

Almost surely, 2^{78285475137168} is an apocalyptic number.

78285475137168 is a gapful number since it is divisible by the number (78) 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 78285475137168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120005285131550).

78285475137168 is an abundant number, since it is smaller than the sum of its proper divisors (161725095125932).

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

78285475137168 is a wasteful number, since it uses less digits than its factorization.

78285475137168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12013694 (or 12013626 counting only the distinct ones).

The product of its digits is 632217600, while the sum is 72.

The spelling of 78285475137168 in words is "seventy-eight trillion, two hundred eighty-five billion, four hundred seventy-five million, one hundred thirty-seven thousand, one hundred sixty-eight".