16488230400 has 960 divisors, whose sum is σ = 66571929600. Its totient is φ = 4031078400.

The previous prime is 16488230347. The next prime is 16488230441. The reversal of 16488230400 is 403288461.

16488230400 is a `hidden beast` number, since 1 + 648 + 8 + 2 + 3 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 531878385 + ... + 531878415.

It is an arithmetic number, because the mean of its divisors is an integer number (69345760).

Almost surely, 2^16488230400 is an apocalyptic number.

16488230400 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 16488230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33285964800).

16488230400 is an abundant number, since it is smaller than the sum of its proper divisors (50083699200).

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

16488230400 is an frugal number, since it uses more digits than its factorization.

16488230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 16488230400 in words is "sixteen billion, four hundred eighty-eight million, two hundred thirty thousand, four hundred".