13993166880 has 1536 divisors, whose sum is σ = 66886041600. Its totient is φ = 2645913600.

The previous prime is 13993166861. The next prime is 13993166899. The reversal of 13993166880 is 8866139931.

It is an interprime number because it is at equal distance from previous prime (13993166861) and next prime (13993166899).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 237172291 + ... + 237172349.

It is an arithmetic number, because the mean of its divisors is an integer number (43545600).

Almost surely, 2^13993166880 is an apocalyptic number.

13993166880 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 13993166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33443020800).

13993166880 is an abundant number, since it is smaller than the sum of its proper divisors (52892874720).

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

13993166880 is a wasteful number, since it uses less digits than its factorization.

13993166880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 13993166880 in words is "thirteen billion, nine hundred ninety-three million, one hundred sixty-six thousand, eight hundred eighty".