78359417136 has 480 divisors, whose sum is σ = 301645693440. Its totient is φ = 18327859200.

The previous prime is 78359417099. The next prime is 78359417141. The reversal of 78359417136 is 63171495387.

78359417136 is a `hidden beast` number, since 7 + 8 + 3 + 594 + 17 + 1 + 36 = 666.

It is a super-2 number, since 2×78359417136² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5903275 + ... + 5916533.

It is an arithmetic number, because the mean of its divisors is an integer number (628428528).

Almost surely, 2^78359417136 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 78359417136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150822846720).

78359417136 is an abundant number, since it is smaller than the sum of its proper divisors (223286276304).

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

78359417136 is a wasteful number, since it uses less digits than its factorization.

78359417136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13345 (or 13336 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 78359417136 in words is "seventy-eight billion, three hundred fifty-nine million, four hundred seventeen thousand, one hundred thirty-six".