16315890134400 has 1344 divisors, whose sum is σ = 64214812221120. Its totient is φ = 4080287416320.

The previous prime is 16315890134353. The next prime is 16315890134419. The reversal of 16315890134400 is 443109851361.

16315890134400 is a `hidden beast` number, since 1 + 6 + 3 + 158 + 90 + 1 + 3 + 4 + 400 = 666.

It is a super-2 number, since 2×16315890134400² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 14792284249 + ... + 14792285351.

Almost surely, 2^{16315890134400} is an apocalyptic number.

16315890134400 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 16315890134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32107406110560).

16315890134400 is an abundant number, since it is smaller than the sum of its proper divisors (47898922086720).

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

16315890134400 is a wasteful number, since it uses less digits than its factorization.

16315890134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

Adding to 16315890134400 its reverse (443109851361), we get a palindrome (16758999985761).

The spelling of 16315890134400 in words is "sixteen trillion, three hundred fifteen billion, eight hundred ninety million, one hundred thirty-four thousand, four hundred".