16605825984 has 224 divisors, whose sum is σ = 53418516480. Its totient is φ = 5016729600.

The previous prime is 16605825949. The next prime is 16605825989. The reversal of 16605825984 is 48952850661.

16605825984 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 582 + 59 + 8 + 4 = 666.

It is a super-2 number, since 2×16605825984² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16605825984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16605825989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7278924 + ... + 7281204.

It is an arithmetic number, because the mean of its divisors is an integer number (238475520).

Almost surely, 2^16605825984 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 16605825984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26709258240).

16605825984 is an abundant number, since it is smaller than the sum of its proper divisors (36812690496).

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

16605825984 is a wasteful number, since it uses less digits than its factorization.

16605825984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 16605825984 in words is "sixteen billion, six hundred five million, eight hundred twenty-five thousand, nine hundred eighty-four".