17200541120 has 224 divisors, whose sum is σ = 48104755200. Its totient is φ = 5735854080.

The previous prime is 17200541117. The next prime is 17200541173. The reversal of 17200541120 is 2114500271.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×17200541120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20950310 + ... + 20951130.

Almost surely, 2^17200541120 is an apocalyptic number.

17200541120 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 17200541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24052377600).

17200541120 is an abundant number, since it is smaller than the sum of its proper divisors (30904214080).

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

17200541120 is a wasteful number, since it uses less digits than its factorization.

17200541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The spelling of 17200541120 in words is "seventeen billion, two hundred million, five hundred forty-one thousand, one hundred twenty".