20014153728000 has 1152 divisors, whose sum is σ = 72628291008000. Its totient is φ = 4875249254400.

The previous prime is 20014153727999. The next prime is 20014153728073. The reversal of 20014153728000 is 82735141002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27082751631 + ... + 27082752369.

It is an arithmetic number, because the mean of its divisors is an integer number (63045391500).

Almost surely, 2^{20014153728000} is an apocalyptic number.

20014153728000 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 20014153728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36314145504000).

20014153728000 is an abundant number, since it is smaller than the sum of its proper divisors (52614137280000).

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

20014153728000 is an frugal number, since it uses more digits than its factorization.

20014153728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

Adding to 20014153728000 its reverse (82735141002), we get a palindrome (20096888869002).

The spelling of 20014153728000 in words is "twenty trillion, fourteen billion, one hundred fifty-three million, seven hundred twenty-eight thousand".