17939242231680 has 4096 divisors, whose sum is σ = 82301681664000. Its totient is φ = 3277416038400.

The previous prime is 17939242231679. The next prime is 17939242231699. The reversal of 17939242231680 is 8613224293971.

It is a self number, because there is not a number n which added to its sum of digits gives 17939242231680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 141253875777 + ... + 141253875903.

It is an arithmetic number, because the mean of its divisors is an integer number (20093184000).

Almost surely, 2^{17939242231680} is an apocalyptic number.

17939242231680 is a gapful number since it is divisible by the number (10) 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 17939242231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41150840832000).

17939242231680 is an abundant number, since it is smaller than the sum of its proper divisors (64362439432320).

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

17939242231680 is a wasteful number, since it uses less digits than its factorization.

17939242231680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 17939242231680 in words is "seventeen trillion, nine hundred thirty-nine billion, two hundred forty-two million, two hundred thirty-one thousand, six hundred eighty".