17133480000 has 840 divisors, whose sum is σ = 75674126528. Its totient is φ = 3608064000.

The previous prime is 17133479959. The next prime is 17133480011. The reversal of 17133480000 is 8433171.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×17133480000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32759739 + ... + 32760261.

Almost surely, 2^17133480000 is an apocalyptic number.

17133480000 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 17133480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37837063264).

17133480000 is an abundant number, since it is smaller than the sum of its proper divisors (58540646528).

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

17133480000 is a wasteful number, since it uses less digits than its factorization.

17133480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 17133480000 in words is "seventeen billion, one hundred thirty-three million, four hundred eighty thousand".