16311624376320 has 4032 divisors, whose sum is σ = 78007153835520. Its totient is φ = 3178424696832.

The previous prime is 16311624376277. The next prime is 16311624376331. The reversal of 16311624376320 is 2367342611361.

16311624376320 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 1 + 6 + 2 + 4 + 3 + 7 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 287 ways as a sum of consecutive naturals, for example, 562469806066 + ... + 562469806094.

It is an arithmetic number, because the mean of its divisors is an integer number (19347012360).

Almost surely, 2^{16311624376320} is an apocalyptic number.

16311624376320 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 16311624376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39003576917760).

16311624376320 is an abundant number, since it is smaller than the sum of its proper divisors (61695529459200).

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

16311624376320 is an frugal number, since it uses more digits than its factorization.

16311624376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

Adding to 16311624376320 its reverse (2367342611361), we get a palindrome (18678966987681).

The spelling of 16311624376320 in words is "sixteen trillion, three hundred eleven billion, six hundred twenty-four million, three hundred seventy-six thousand, three hundred twenty".