17132749920 has 1152 divisors, whose sum is σ = 75290342400. Its totient is φ = 3483648000.

The previous prime is 17132749913. The next prime is 17132749969. The reversal of 17132749920 is 2994723171.

17132749920 is a `hidden beast` number, since 1 + 7 + 132 + 7 + 499 + 20 = 666.

It is a super-2 number, since 2×17132749920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113461845 + ... + 113461995.

It is an arithmetic number, because the mean of its divisors is an integer number (65356200).

Almost surely, 2^17132749920 is an apocalyptic number.

17132749920 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 17132749920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37645171200).

17132749920 is an abundant number, since it is smaller than the sum of its proper divisors (58157592480).

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

17132749920 is a wasteful number, since it uses less digits than its factorization.

17132749920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 17132749920 in words is "seventeen billion, one hundred thirty-two million, seven hundred forty-nine thousand, nine hundred twenty".