12578058240 has 416 divisors, whose sum is σ = 45179721216. Its totient is φ = 2960916480.

The previous prime is 12578058239. The next prime is 12578058253. The reversal of 12578058240 is 4285087521.

It is a junction number, because it is equal to n+sod(n) for n = 12578058192 and 12578058201.

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, 25005829 + ... + 25006331.

Almost surely, 2^12578058240 is an apocalyptic number.

12578058240 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 12578058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22589860608).

12578058240 is an abundant number, since it is smaller than the sum of its proper divisors (32601662976).

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

12578058240 is a wasteful number, since it uses less digits than its factorization.

12578058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The spelling of 12578058240 in words is "twelve billion, five hundred seventy-eight million, fifty-eight thousand, two hundred forty".