20128737648864 has 384 divisors, whose sum is σ = 59423436172800. Its totient is φ = 5925435310080.

The previous prime is 20128737648809. The next prime is 20128737648947. The reversal of 20128737648864 is 46884673782102.

It is a junction number, because it is equal to n+sod(n) for n = 20128737648795 and 20128737648804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1264916172 + ... + 1264932084.

It is an arithmetic number, because the mean of its divisors is an integer number (154748531700).

Almost surely, 2^{20128737648864} is an apocalyptic number.

20128737648864 is a gapful number since it is divisible by the number (24) 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 20128737648864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29711718086400).

20128737648864 is an abundant number, since it is smaller than the sum of its proper divisors (39294698523936).

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

20128737648864 is a wasteful number, since it uses less digits than its factorization.

20128737648864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16458 (or 16450 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 66.

The spelling of 20128737648864 in words is "twenty trillion, one hundred twenty-eight billion, seven hundred thirty-seven million, six hundred forty-eight thousand, eight hundred sixty-four".