16082534400 has 240 divisors, whose sum is σ = 53309553000. Its totient is φ = 4278190080.

The previous prime is 16082534389. The next prime is 16082534431. The reversal of 16082534400 is 443528061.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39321396 + ... + 39321804.

Almost surely, 2^16082534400 is an apocalyptic number.

16082534400 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 16082534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26654776500).

16082534400 is an abundant number, since it is smaller than the sum of its proper divisors (37227018600).

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

16082534400 is an frugal number, since it uses more digits than its factorization.

16082534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 16082534400 in words is "sixteen billion, eighty-two million, five hundred thirty-four thousand, four hundred".