16765045920 has 288 divisors, whose sum is σ = 68227391232. Its totient is φ = 3665350656.

The previous prime is 16765045889. The next prime is 16765045937. The reversal of 16765045920 is 2954056761.

16765045920 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 50 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195684 + ... + 267996.

It is an arithmetic number, because the mean of its divisors is an integer number (236900664).

Almost surely, 2^16765045920 is an apocalyptic number.

16765045920 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 16765045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34113695616).

16765045920 is an abundant number, since it is smaller than the sum of its proper divisors (51462345312).

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

16765045920 is a wasteful number, since it uses less digits than its factorization.

16765045920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72364 (or 72353 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 16765045920 in words is "sixteen billion, seven hundred sixty-five million, forty-five thousand, nine hundred twenty".