20728548572160 has 1408 divisors, whose sum is σ = 83903140823040. Its totient is φ = 4291854336000.

The previous prime is 20728548572143. The next prime is 20728548572161. The reversal of 20728548572160 is 6127584582702.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 20728548572160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20728548572161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1794518385 + ... + 1794529935.

It is an arithmetic number, because the mean of its divisors is an integer number (59590298880).

Almost surely, 2^{20728548572160} is an apocalyptic number.

20728548572160 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 20728548572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41951570411520).

20728548572160 is an abundant number, since it is smaller than the sum of its proper divisors (63174592250880).

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

20728548572160 is a wasteful number, since it uses less digits than its factorization.

20728548572160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11665 (or 11647 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 57.

The spelling of 20728548572160 in words is "twenty trillion, seven hundred twenty-eight billion, five hundred forty-eight million, five hundred seventy-two thousand, one hundred sixty".