16913038376100 has 576 divisors, whose sum is σ = 52641222746112. Its totient is φ = 4184566272000.

The previous prime is 16913038376083. The next prime is 16913038376149. The reversal of 16913038376100 is 167383031961.

It is a super-2 number, since 2×16913038376100² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16913038376100.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19735166872 + ... + 19735167728.

It is an arithmetic number, because the mean of its divisors is an integer number (91391011712).

Almost surely, 2^{16913038376100} is an apocalyptic number.

16913038376100 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 16913038376100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26320611373056).

16913038376100 is an abundant number, since it is smaller than the sum of its proper divisors (35728184370012).

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

16913038376100 is a wasteful number, since it uses less digits than its factorization.

16913038376100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 16913038376100 in words is "sixteen trillion, nine hundred thirteen billion, thirty-eight million, three hundred seventy-six thousand, one hundred".