16268353920 has 768 divisors, whose sum is σ = 70920420480. Its totient is φ = 3344302080.

The previous prime is 16268353919. The next prime is 16268353921. The reversal of 16268353920 is 2935386261.

16268353920 is a `hidden beast` number, since 16 + 2 + 6 + 83 + 539 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (16268353919) and next prime (16268353921).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16268353921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21490182 + ... + 21490938.

Almost surely, 2^16268353920 is an apocalyptic number.

16268353920 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 16268353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35460210240).

16268353920 is an abundant number, since it is smaller than the sum of its proper divisors (54652066560).

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

16268353920 is a wasteful number, since it uses less digits than its factorization.

16268353920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 16268353920 in words is "sixteen billion, two hundred sixty-eight million, three hundred fifty-three thousand, nine hundred twenty".