17038862952 has 128 divisors (see below), whose sum is σ = 45668655360. Its totient is φ = 5278924800.

The previous prime is 17038862947. The next prime is 17038862989. The reversal of 17038862952 is 25926883071.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 17038862895 and 17038862904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11889628 + ... + 11891060.

It is an arithmetic number, because the mean of its divisors is an integer number (356786370).

Almost surely, 2^17038862952 is an apocalyptic number.

17038862952 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 17038862952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22834327680).

17038862952 is an abundant number, since it is smaller than the sum of its proper divisors (28629792408).

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

17038862952 is a wasteful number, since it uses less digits than its factorization.

17038862952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 17038862952 in words is "seventeen billion, thirty-eight million, eight hundred sixty-two thousand, nine hundred fifty-two".