16581613350 has 72 divisors (see below), whose sum is σ = 41711649480. Its totient is φ = 4359286400.

The previous prime is 16581613319. The next prime is 16581613351. The reversal of 16581613350 is 5331618561.

It is a junction number, because it is equal to n+sod(n) for n = 16581613299 and 16581613308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16581613351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 745186 + ... + 767114.

It is an arithmetic number, because the mean of its divisors is an integer number (579328465).

Almost surely, 2^16581613350 is an apocalyptic number.

16581613350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16581613350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20855824740).

16581613350 is an abundant number, since it is smaller than the sum of its proper divisors (25130036130).

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

16581613350 is a wasteful number, since it uses less digits than its factorization.

16581613350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22086 (or 22010 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 16581613350 in words is "sixteen billion, five hundred eighty-one million, six hundred thirteen thousand, three hundred fifty".