16573840920 has 640 divisors, whose sum is σ = 69668121600. Its totient is φ = 3440600064.

The previous prime is 16573840919. The next prime is 16573841003. The reversal of 16573840920 is 2904837561.

16573840920 is a `hidden beast` number, since 16 + 573 + 8 + 40 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19753861 + ... + 19754699.

It is an arithmetic number, because the mean of its divisors is an integer number (108856440).

It is a 1-persistent number, because it is pandigital, but 2⋅16573840920 = 33147681840 is not.

Almost surely, 2^16573840920 is an apocalyptic number.

16573840920 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 16573840920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34834060800).

16573840920 is an abundant number, since it is smaller than the sum of its proper divisors (53094280680).

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

16573840920 is a wasteful number, since it uses less digits than its factorization.

16573840920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 16573840920 in words is "sixteen billion, five hundred seventy-three million, eight hundred forty thousand, nine hundred twenty".