12578832358560 has 1152 divisors, whose sum is σ = 50357351116800. Its totient is φ = 2833694392320.

The previous prime is 12578832358523. The next prime is 12578832358597. The reversal of 12578832358560 is 6585323887521.

It is a happy number.

12578832358560 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 8 + 8 + 32 + 35 + 8 + 560 = 666.

12578832358560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12578832358523) and next prime (12578832358597).

It is a super-2 number, since 2×12578832358560² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1187909746 + ... + 1187920334.

It is an arithmetic number, because the mean of its divisors is an integer number (43712978400).

Almost surely, 2^{12578832358560} is an apocalyptic number.

12578832358560 is a gapful number since it is divisible by the number (10) 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 12578832358560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25178675558400).

12578832358560 is an abundant number, since it is smaller than the sum of its proper divisors (37778518758240).

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

12578832358560 is a wasteful number, since it uses less digits than its factorization.

12578832358560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10766 (or 10755 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 12578832358560 in words is "twelve trillion, five hundred seventy-eight billion, eight hundred thirty-two million, three hundred fifty-eight thousand, five hundred sixty".