16268065920 has 640 divisors, whose sum is σ = 61421690880. Its totient is φ = 4097433600.

The previous prime is 16268065883. The next prime is 16268065967. The reversal of 16268065920 is 2956086261.

16268065920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85173025 + ... + 85173215.

It is an arithmetic number, because the mean of its divisors is an integer number (95971392).

Almost surely, 2^16268065920 is an apocalyptic number.

16268065920 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 16268065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30710845440).

16268065920 is an abundant number, since it is smaller than the sum of its proper divisors (45153624960).

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

16268065920 is a wasteful number, since it uses less digits than its factorization.

16268065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 16268065920 in words is "sixteen billion, two hundred sixty-eight million, sixty-five thousand, nine hundred twenty".