78353271216 has 300 divisors, whose sum is σ = 253384671232. Its totient is φ = 23351328000.

The previous prime is 78353271209. The next prime is 78353271229. The reversal of 78353271216 is 61217235387.

78353271216 is a `hidden beast` number, since 7 + 8 + 353 + 271 + 21 + 6 = 666.

It is a super-2 number, since 2×78353271216² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9561681 + ... + 9569871.

Almost surely, 2^78353271216 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 78353271216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126692335616).

78353271216 is an abundant number, since it is smaller than the sum of its proper divisors (175031400016).

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

78353271216 is a wasteful number, since it uses less digits than its factorization.

78353271216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294 (or 8268 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 78353271216 in words is "seventy-eight billion, three hundred fifty-three million, two hundred seventy-one thousand, two hundred sixteen".