16520946624 has 420 divisors, whose sum is σ = 61363381464. Its totient is φ = 4356301824.

The previous prime is 16520946583. The next prime is 16520946643. The reversal of 16520946624 is 42664902561.

16520946624 is a `hidden beast` number, since 16 + 5 + 2 + 0 + 9 + 4 + 6 + 624 = 666.

16520946624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 16520946624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3299707 + ... + 3304709.

Almost surely, 2^16520946624 is an apocalyptic number.

16520946624 is a gapful number since it is divisible by the number (14) 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 16520946624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30681690732).

16520946624 is an abundant number, since it is smaller than the sum of its proper divisors (44842434840).

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

16520946624 is a wasteful number, since it uses less digits than its factorization.

16520946624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 16520946624 in words is "sixteen billion, five hundred twenty million, nine hundred forty-six thousand, six hundred twenty-four".