16133821536 has 432 divisors, whose sum is σ = 52717718592. Its totient is φ = 4304724480.

The previous prime is 16133821447. The next prime is 16133821541. The reversal of 16133821536 is 63512833161.

It is a junction number, because it is equal to n+sod(n) for n = 16133821494 and 16133821503.

It is a congruent number.

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, 194383351 + ... + 194383433.

It is an arithmetic number, because the mean of its divisors is an integer number (122031756).

Almost surely, 2^16133821536 is an apocalyptic number.

16133821536 is a gapful number since it is divisible by the number (16) 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 16133821536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26358859296).

16133821536 is an abundant number, since it is smaller than the sum of its proper divisors (36583897056).

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

16133821536 is a wasteful number, since it uses less digits than its factorization.

16133821536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 169 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The spelling of 16133821536 in words is "sixteen billion, one hundred thirty-three million, eight hundred twenty-one thousand, five hundred thirty-six".