12578582016 has 960 divisors, whose sum is σ = 51047732736. Its totient is φ = 2985984000.

The previous prime is 12578582011. The next prime is 12578582053. The reversal of 12578582016 is 61028587521.

12578582016 is a `hidden beast` number, since 1 + 2 + 57 + 8 + 582 + 0 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12578582011) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 124540366 + ... + 124540466.

Almost surely, 2^12578582016 is an apocalyptic number.

12578582016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12578582016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25523866368).

12578582016 is an abundant number, since it is smaller than the sum of its proper divisors (38469150720).

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

12578582016 is a wasteful number, since it uses less digits than its factorization.

12578582016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 12578582016 in words is "twelve billion, five hundred seventy-eight million, five hundred eighty-two thousand, sixteen".