13422821180160 has 1152 divisors, whose sum is σ = 54789021665280. Its totient is φ = 2726430769152.

The previous prime is 13422821180149. The next prime is 13422821180183. The reversal of 13422821180160 is 6108112822431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2752267642 + ... + 2752272518.

It is an arithmetic number, because the mean of its divisors is an integer number (47559914640).

Almost surely, 2^{13422821180160} is an apocalyptic number.

13422821180160 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 13422821180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27394510832640).

13422821180160 is an abundant number, since it is smaller than the sum of its proper divisors (41366200485120).

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

13422821180160 is a wasteful number, since it uses less digits than its factorization.

13422821180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5261 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 13422821180160 in words is "thirteen trillion, four hundred twenty-two billion, eight hundred twenty-one million, one hundred eighty thousand, one hundred sixty".