16138505474680 has 256 divisors, whose sum is σ = 38237329152000. Its totient is φ = 6124067389440.

The previous prime is 16138505474593. The next prime is 16138505474711. The reversal of 16138505474680 is 8647450583161.

It is a super-2 number, since 2×16138505474680² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5832490657 + ... + 5832493423.

It is an arithmetic number, because the mean of its divisors is an integer number (149364567000).

Almost surely, 2^{16138505474680} is an apocalyptic number.

16138505474680 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 16138505474680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19118664576000).

16138505474680 is an abundant number, since it is smaller than the sum of its proper divisors (22098823677320).

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

16138505474680 is a wasteful number, since it uses less digits than its factorization.

16138505474680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 16138505474680 in words is "sixteen trillion, one hundred thirty-eight billion, five hundred five million, four hundred seventy-four thousand, six hundred eighty".