16133808960 has 448 divisors, whose sum is σ = 61996320000. Its totient is φ = 3934199808.

The previous prime is 16133808947. The next prime is 16133808961. The reversal of 16133808960 is 6980833161.

It is a happy number.

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 (16133808961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4758946 + ... + 4762334.

Almost surely, 2^16133808960 is an apocalyptic number.

16133808960 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 16133808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30998160000).

16133808960 is an abundant number, since it is smaller than the sum of its proper divisors (45862511040).

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

16133808960 is a wasteful number, since it uses less digits than its factorization.

16133808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 16133808960 in words is "sixteen billion, one hundred thirty-three million, eight hundred eight thousand, nine hundred sixty".