16005400320 has 576 divisors, whose sum is σ = 63524772864. Its totient is φ = 3344302080.

The previous prime is 16005400303. The next prime is 16005400321. The reversal of 16005400320 is 2300450061.

It is a happy number.

It is a super-2 number, since 2×16005400320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16005400321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56958580 + ... + 56958860.

It is an arithmetic number, because the mean of its divisors is an integer number (110286064).

Almost surely, 2^16005400320 is an apocalyptic number.

16005400320 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 16005400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31762386432).

16005400320 is an abundant number, since it is smaller than the sum of its proper divisors (47519372544).

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

16005400320 is a wasteful number, since it uses less digits than its factorization.

16005400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 16005400320 its reverse (2300450061), we get a palindrome (18305850381).

The spelling of 16005400320 in words is "sixteen billion, five million, four hundred thousand, three hundred twenty".