78516415584 has 120 divisors (see below), whose sum is σ = 231654737160. Its totient is φ = 26088251904.

The previous prime is 78516415567. The next prime is 78516415609. The reversal of 78516415584 is 48551461587.

78516415584 is a `hidden beast` number, since 7 + 8 + 5 + 16 + 41 + 5 + 584 = 666.

It is a super-2 number, since 2×78516415584² (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 self number, because there is not a number n which added to its sum of digits gives 78516415584.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 762907 + ... + 859685.

It is an arithmetic number, because the mean of its divisors is an integer number (1930456143).

Almost surely, 2^78516415584 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 78516415584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115827368580).

78516415584 is an abundant number, since it is smaller than the sum of its proper divisors (153138321576).

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

78516415584 is a wasteful number, since it uses less digits than its factorization.

78516415584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97114 (or 97097 counting only the distinct ones).

The product of its digits is 5376000, while the sum is 54.

The spelling of 78516415584 in words is "seventy-eight billion, five hundred sixteen million, four hundred fifteen thousand, five hundred eighty-four".