16105664965440 has 224 divisors, whose sum is σ = 51457636154880. Its totient is φ = 4267812519936.

The previous prime is 16105664965421. The next prime is 16105664965463. The reversal of 16105664965440 is 4456946650161.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334959321 + ... + 335007399.

Almost surely, 2^{16105664965440} is an apocalyptic number.

16105664965440 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 16105664965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25728818077440).

16105664965440 is an abundant number, since it is smaller than the sum of its proper divisors (35351971189440).

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

16105664965440 is a wasteful number, since it uses less digits than its factorization.

16105664965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50289 (or 50279 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 16105664965440 in words is "sixteen trillion, one hundred five billion, six hundred sixty-four million, nine hundred sixty-five thousand, four hundred forty".