20616144792320 has 576 divisors, whose sum is σ = 63398618099712. Its totient is φ = 6288920985600.

The previous prime is 20616144792319. The next prime is 20616144792323. The reversal of 20616144792320 is 2329744161602.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (20616144792323) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 560492330 + ... + 560529110.

It is an arithmetic number, because the mean of its divisors is an integer number (110067045312).

Almost surely, 2^{20616144792320} is an apocalyptic number.

20616144792320 is a gapful number since it is divisible by the number (20) 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 20616144792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31699309049856).

20616144792320 is an abundant number, since it is smaller than the sum of its proper divisors (42782473307392).

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

20616144792320 is an equidigital number, since it uses as much as digits as its factorization.

20616144792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36889 (or 36853 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 47.

The spelling of 20616144792320 in words is "twenty trillion, six hundred sixteen billion, one hundred forty-four million, seven hundred ninety-two thousand, three hundred twenty".