20938456638300 has 144 divisors (see below), whose sum is σ = 64170490325760. Its totient is φ = 5253101091840.

The previous prime is 20938456638299. The next prime is 20938456638347. The reversal of 20938456638300 is 383665483902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12356937 + ... + 13948863.

It is an arithmetic number, because the mean of its divisors is an integer number (445628405040).

Almost surely, 2^{20938456638300} is an apocalyptic number.

20938456638300 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 20938456638300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32085245162880).

20938456638300 is an abundant number, since it is smaller than the sum of its proper divisors (43232033687460).

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

20938456638300 is a wasteful number, since it uses less digits than its factorization.

20938456638300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594540 (or 1594533 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 20938456638300 in words is "twenty trillion, nine hundred thirty-eight billion, four hundred fifty-six million, six hundred thirty-eight thousand, three hundred".