16315310400 has 168 divisors, whose sum is σ = 54834032064. Its totient is φ = 4244582400.

The previous prime is 16315310399. The next prime is 16315310437. The reversal of 16315310400 is 401351361.

16315310400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155349 + ... + 238251.

It is an arithmetic number, because the mean of its divisors is an integer number (326393048).

Almost surely, 2^16315310400 is an apocalyptic number.

16315310400 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 16315310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27417016032).

16315310400 is an abundant number, since it is smaller than the sum of its proper divisors (38518721664).

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

16315310400 is a wasteful number, since it uses less digits than its factorization.

16315310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82969 (or 82954 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 16315310400 its reverse (401351361), we get a palindrome (16716661761).

The spelling of 16315310400 in words is "sixteen billion, three hundred fifteen million, three hundred ten thousand, four hundred".