27938193003520 has 176 divisors, whose sum is σ = 67657454971920. Its totient is φ = 11068875472896.

The previous prime is 27938193003503. The next prime is 27938193003527. The reversal of 27938193003520 is 2530039183972.

It can be written as a sum of positive squares in 8 ways, for example, as 2507231563776 + 25430961439744 = 1583424^2 + 5042912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27938193003527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2005174474 + ... + 2005188406.

It is an arithmetic number, because the mean of its divisors is an integer number (384417357795).

Almost surely, 2^{27938193003520} is an apocalyptic number.

27938193003520 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 27938193003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33828727485960).

27938193003520 is an abundant number, since it is smaller than the sum of its proper divisors (39719261968400).

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

27938193003520 is a wasteful number, since it uses less digits than its factorization.

27938193003520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17660 (or 17642 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 52.

The spelling of 27938193003520 in words is "twenty-seven trillion, nine hundred thirty-eight billion, one hundred ninety-three million, three thousand, five hundred twenty".