12578079375360 has 1824 divisors, whose sum is σ = 50455166291712. Its totient is φ = 2989699891200.

The previous prime is 12578079375353. The next prime is 12578079375373. The reversal of 12578079375360 is 6357397087521.

12578079375360 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 8 + 0 + 7 + 93 + 7 + 536 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124535439310 + ... + 124535439410.

Almost surely, 2^{12578079375360} is an apocalyptic number.

12578079375360 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 12578079375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25227583145856).

12578079375360 is an abundant number, since it is smaller than the sum of its proper divisors (37877086916352).

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

12578079375360 is an frugal number, since it uses more digits than its factorization.

12578079375360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 12578079375360 in words is "twelve trillion, five hundred seventy-eight billion, seventy-nine million, three hundred seventy-five thousand, three hundred sixty".