13320631872 has 224 divisors, whose sum is σ = 41360547200. Its totient is φ = 4192321536.

The previous prime is 13320631859. The next prime is 13320631889. The reversal of 13320631872 is 27813602331.

13320631872 is a `hidden beast` number, since 1 + 332 + 0 + 6 + 318 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14215788 + ... + 14216724.

It is an arithmetic number, because the mean of its divisors is an integer number (184645300).

Almost surely, 2^13320631872 is an apocalyptic number.

13320631872 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 13320631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20680273600).

13320631872 is an abundant number, since it is smaller than the sum of its proper divisors (28039915328).

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

13320631872 is a wasteful number, since it uses less digits than its factorization.

13320631872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13320631872 in words is "thirteen billion, three hundred twenty million, six hundred thirty-one thousand, eight hundred seventy-two".