17152994040 has 512 divisors, whose sum is σ = 68124672000. Its totient is φ = 3353757696.

The previous prime is 17152994039. The next prime is 17152994071. The reversal of 17152994040 is 4049925171.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 17152993983 and 17152994001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9750681 + ... + 9752439.

It is an arithmetic number, because the mean of its divisors is an integer number (133056000).

Almost surely, 2^17152994040 is an apocalyptic number.

17152994040 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 17152994040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34062336000).

17152994040 is an abundant number, since it is smaller than the sum of its proper divisors (50971677960).

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

17152994040 is a wasteful number, since it uses less digits than its factorization.

17152994040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 17152994040 in words is "seventeen billion, one hundred fifty-two million, nine hundred ninety-four thousand, forty".