16733520000 has 640 divisors, whose sum is σ = 63219763200. Its totient is φ = 4354560000.

The previous prime is 16733519983. The next prime is 16733520007. The reversal of 16733520000 is 2533761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (16733520007) 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 79 ways as a sum of consecutive naturals, for example, 131759937 + ... + 131760063.

It is an arithmetic number, because the mean of its divisors is an integer number (98780880).

Almost surely, 2^16733520000 is an apocalyptic number.

16733520000 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 16733520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31609881600).

16733520000 is an abundant number, since it is smaller than the sum of its proper divisors (46486243200).

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

16733520000 is an equidigital number, since it uses as much as digits as its factorization.

16733520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 16733520000 in words is "sixteen billion, seven hundred thirty-three million, five hundred twenty thousand".