16530998400 has 576 divisors, whose sum is σ = 69932815680. Its totient is φ = 3777269760.

The previous prime is 16530998399. The next prime is 16530998411. The reversal of 16530998400 is 489903561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 5441682 + ... + 5444718.

Almost surely, 2^16530998400 is an apocalyptic number.

16530998400 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 16530998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34966407840).

16530998400 is an abundant number, since it is smaller than the sum of its proper divisors (53401817280).

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

16530998400 is an equidigital number, since it uses as much as digits as its factorization.

16530998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 16530998400 in words is "sixteen billion, five hundred thirty million, nine hundred ninety-eight thousand, four hundred".