17138938752 has 768 divisors, whose sum is σ = 60592896000. Its totient is φ = 4598415360.

The previous prime is 17138938717. The next prime is 17138938829. The reversal of 17138938752 is 25783983171.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255805023 + ... + 255805089.

It is an arithmetic number, because the mean of its divisors is an integer number (78897000).

Almost surely, 2^17138938752 is an apocalyptic number.

17138938752 is a gapful number since it is divisible by the number (12) 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 17138938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30296448000).

17138938752 is an abundant number, since it is smaller than the sum of its proper divisors (43453957248).

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

17138938752 is a wasteful number, since it uses less digits than its factorization.

17138938752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 17138938752 in words is "seventeen billion, one hundred thirty-eight million, nine hundred thirty-eight thousand, seven hundred fifty-two".