16106726724000 has 576 divisors, whose sum is σ = 58033795921920. Its totient is φ = 3902291712000.

The previous prime is 16106726723963. The next prime is 16106726724071. The reversal of 16106726724000 is 42762760161.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4180306074 + ... + 4180309926.

It is an arithmetic number, because the mean of its divisors is an integer number (100753117920).

Almost surely, 2^{16106726724000} is an apocalyptic number.

16106726724000 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 16106726724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29016897960960).

16106726724000 is an abundant number, since it is smaller than the sum of its proper divisors (41927069197920).

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

16106726724000 is a wasteful number, since it uses less digits than its factorization.

16106726724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6782 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 16106726724000 in words is "sixteen trillion, one hundred six billion, seven hundred twenty-six million, seven hundred twenty-four thousand".