13290029383680 has 1632 divisors, whose sum is σ = 57264898928640. Its totient is φ = 2782459330560.

The previous prime is 13290029383663. The next prime is 13290029383717. The reversal of 13290029383680 is 8638392009231.

It is a happy number.

13290029383680 is a `hidden beast` number, since 1 + 3 + 290 + 0 + 293 + 8 + 3 + 68 + 0 = 666.

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, 12159221214 + ... + 12159222306.

Almost surely, 2^{13290029383680} is an apocalyptic number.

13290029383680 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 13290029383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28632449464320).

13290029383680 is an abundant number, since it is smaller than the sum of its proper divisors (43974869544960).

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

13290029383680 is a wasteful number, since it uses less digits than its factorization.

13290029383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 13290029383680 in words is "thirteen trillion, two hundred ninety billion, twenty-nine million, three hundred eighty-three thousand, six hundred eighty".