78512504256 has 210 divisors, whose sum is σ = 238303076352. Its totient is φ = 25559089920.

The previous prime is 78512504221. The next prime is 78512504263. The reversal of 78512504256 is 65240521587.

78512504256 is a `hidden beast` number, since 7 + 85 + 12 + 504 + 2 + 56 = 666.

It is a super-2 number, since 2×78512504256² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9581121 + ... + 9589311.

Almost surely, 2^78512504256 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 78512504256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119151538176).

78512504256 is an abundant number, since it is smaller than the sum of its proper divisors (159790572096).

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

78512504256 is an equidigital number, since it uses as much as digits as its factorization.

78512504256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8301 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 78512504256 in words is "seventy-eight billion, five hundred twelve million, five hundred four thousand, two hundred fifty-six".