78737978709585 has 72 divisors (see below), whose sum is σ = 147788487642744. Its totient is φ = 38762431718400.

The previous prime is 78737978709581. The next prime is 78737978709587. The reversal of 78737978709585 is 58590787973787.

78737978709585 is a `hidden beast` number, since 7 + 8 + 7 + 379 + 7 + 8 + 70 + 95 + 85 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 40808984252481 + 37928994457104 = 6388191^2 + 6158652^2 .

It is not a de Polignac number, because 78737978709585 - 2² = 78737978709581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 78737978709495 and 78737978709504.

It is not an unprimeable number, because it can be changed into a prime (78737978709581) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 445572267 + ... + 445748943.

It is an arithmetic number, because the mean of its divisors is an integer number (2052617883927).

Almost surely, 2^{78737978709585} is an apocalyptic number.

It is an amenable number.

78737978709585 is a deficient number, since it is larger than the sum of its proper divisors (69050508933159).

78737978709585 is a wasteful number, since it uses less digits than its factorization.

78737978709585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235315 (or 235299 counting only the distinct ones).

The product of its (nonzero) digits is 52276492800, while the sum is 90.

The spelling of 78737978709585 in words is "seventy-eight trillion, seven hundred thirty-seven billion, nine hundred seventy-eight million, seven hundred nine thousand, five hundred eighty-five".