13051668480 has 384 divisors, whose sum is σ = 44815680000. Its totient is φ = 3232825344.

The previous prime is 13051668449. The next prime is 13051668493. The reversal of 13051668480 is 8486615031.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×13051668480² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34436931 + ... + 34437309.

It is an arithmetic number, because the mean of its divisors is an integer number (116707500).

Almost surely, 2^13051668480 is an apocalyptic number.

13051668480 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 13051668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840000).

13051668480 is an abundant number, since it is smaller than the sum of its proper divisors (31764011520).

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

13051668480 is a wasteful number, since it uses less digits than its factorization.

13051668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 13051668480 in words is "thirteen billion, fifty-one million, six hundred sixty-eight thousand, four hundred eighty".