12578558160 has 160 divisors (see below), whose sum is σ = 44596645632. Its totient is φ = 2872995840.

The previous prime is 12578558149. The next prime is 12578558191. The reversal of 12578558160 is 6185587521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4395130 + ... + 4397990.

Almost surely, 2^12578558160 is an apocalyptic number.

12578558160 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 12578558160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22298322816).

12578558160 is an abundant number, since it is smaller than the sum of its proper divisors (32018087472).

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

12578558160 is a wasteful number, since it uses less digits than its factorization.

12578558160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5501 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 48.

The spelling of 12578558160 in words is "twelve billion, five hundred seventy-eight million, five hundred fifty-eight thousand, one hundred sixty".