17138964960 has 672 divisors, whose sum is σ = 66633477120. Its totient is φ = 4138573824.

The previous prime is 17138964859. The next prime is 17138964971. The reversal of 17138964960 is 6946983171.

17138964960 is a `hidden beast` number, since 1 + 71 + 3 + 89 + 6 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 17138964897 and 17138964906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 134952417 + ... + 134952543.

It is an arithmetic number, because the mean of its divisors is an integer number (99156960).

Almost surely, 2^17138964960 is an apocalyptic number.

17138964960 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 17138964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33316738560).

17138964960 is an abundant number, since it is smaller than the sum of its proper divisors (49494512160).

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

17138964960 is a wasteful number, since it uses less digits than its factorization.

17138964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 17138964960 in words is "seventeen billion, one hundred thirty-eight million, nine hundred sixty-four thousand, nine hundred sixty".