12578755464 has 256 divisors, whose sum is σ = 40559616000. Its totient is φ = 3569771520.

The previous prime is 12578755439. The next prime is 12578755489. The reversal of 12578755464 is 46455787521.

It is a happy number.

12578755464 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 87 + 554 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12578755439) and next prime (12578755489).

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 12578755464.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9653037 + ... + 9654339.

It is an arithmetic number, because the mean of its divisors is an integer number (158436000).

Almost surely, 2^12578755464 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 12578755464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20279808000).

12578755464 is an abundant number, since it is smaller than the sum of its proper divisors (27980860536).

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

12578755464 is a wasteful number, since it uses less digits than its factorization.

12578755464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1575 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 54.

The spelling of 12578755464 in words is "twelve billion, five hundred seventy-eight million, seven hundred fifty-five thousand, four hundred sixty-four".