16533819000 has 384 divisors, whose sum is σ = 60742656000. Its totient is φ = 4040928000.

The previous prime is 16533818971. The next prime is 16533819053. The reversal of 16533819000 is 91833561.

It is a happy number.

It is a super-2 number, since 2×16533819000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5299441 + ... + 5302559.

It is an arithmetic number, because the mean of its divisors is an integer number (158184000).

Almost surely, 2^16533819000 is an apocalyptic number.

16533819000 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 16533819000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30371328000).

16533819000 is an abundant number, since it is smaller than the sum of its proper divisors (44208837000).

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

16533819000 is a wasteful number, since it uses less digits than its factorization.

16533819000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 16533819000 in words is "sixteen billion, five hundred thirty-three million, eight hundred nineteen thousand".