16791726164004 has 480 divisors, whose sum is σ = 49682449022976. Its totient is φ = 4901447013120.

The previous prime is 16791726163981. The next prime is 16791726164029. The reversal of 16791726164004 is 40046162719761.

It is a happy number.

16791726164004 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 17 + 2 + 616 + 4 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3367097199 + ... + 3367102185.

Almost surely, 2^{16791726164004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16791726164004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24841224511488).

16791726164004 is an abundant number, since it is smaller than the sum of its proper divisors (32890722858972).

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

16791726164004 is a wasteful number, since it uses less digits than its factorization.

16791726164004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5357 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 16791726164004 in words is "sixteen trillion, seven hundred ninety-one billion, seven hundred twenty-six million, one hundred sixty-four thousand, four".