16133888000 has 384 divisors, whose sum is σ = 44155238400. Its totient is φ = 5861376000.

The previous prime is 16133887997. The next prime is 16133888003. The reversal of 16133888000 is 88833161.

It is an interprime number because it is at equal distance from previous prime (16133887997) and next prime (16133888003).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16133888003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150783947 + ... + 150784053.

It is an arithmetic number, because the mean of its divisors is an integer number (114987600).

Almost surely, 2^16133888000 is an apocalyptic number.

16133888000 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 16133888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22077619200).

16133888000 is an abundant number, since it is smaller than the sum of its proper divisors (28021350400).

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

16133888000 is a wasteful number, since it uses less digits than its factorization.

16133888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 16133888000 in words is "sixteen billion, one hundred thirty-three million, eight hundred eighty-eight thousand".