16271603668320 has 3072 divisors, whose sum is σ = 74975281274880. Its totient is φ = 2863713484800.

The previous prime is 16271603668319. The next prime is 16271603668379. The reversal of 16271603668320 is 2386630617261.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 143996492584 + ... + 143996492696.

It is an arithmetic number, because the mean of its divisors is an integer number (24406016040).

Almost surely, 2^{16271603668320} is an apocalyptic number.

16271603668320 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 16271603668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37487640637440).

16271603668320 is an abundant number, since it is smaller than the sum of its proper divisors (58703677606560).

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

16271603668320 is a wasteful number, since it uses less digits than its factorization.

16271603668320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 16271603668320 in words is "sixteen trillion, two hundred seventy-one billion, six hundred three million, six hundred sixty-eight thousand, three hundred twenty".