13007578752 has 320 divisors, whose sum is σ = 46573771200. Its totient is φ = 3520475136.

The previous prime is 13007578741. The next prime is 13007578757. The reversal of 13007578752 is 25787570031.

13007578752 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 7 + 578 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13007578698 and 13007578707.

It is not an unprimeable number, because it can be changed into a prime (13007578757) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1374228 + ... + 1383660.

It is an arithmetic number, because the mean of its divisors is an integer number (145543035).

Almost surely, 2^13007578752 is an apocalyptic number.

13007578752 is a gapful number since it is divisible by the number (12) 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 13007578752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23286885600).

13007578752 is an abundant number, since it is smaller than the sum of its proper divisors (33566192448).

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

13007578752 is an equidigital number, since it uses as much as digits as its factorization.

13007578752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9485 (or 9464 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 13007578752 in words is "thirteen billion, seven million, five hundred seventy-eight thousand, seven hundred fifty-two".