16753449960 has 288 divisors, whose sum is σ = 59184286200. Its totient is φ = 4108216320.

The previous prime is 16753449949. The next prime is 16753449989. The reversal of 16753449960 is 6994435761.

16753449960 is a `hidden beast` number, since 1 + 6 + 7 + 534 + 49 + 9 + 60 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 39614436 + 16713835524 = 6294^2 + 129282^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16753449897 and 16753449906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30967290 + ... + 30967830.

Almost surely, 2^16753449960 is an apocalyptic number.

16753449960 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 16753449960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29592143100).

16753449960 is an abundant number, since it is smaller than the sum of its proper divisors (42430836240).

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

16753449960 is a wasteful number, since it uses less digits than its factorization.

16753449960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 16753449960 in words is "sixteen billion, seven hundred fifty-three million, four hundred forty-nine thousand, nine hundred sixty".