17112116400 has 60 divisors (see below), whose sum is σ = 54815816712. Its totient is φ = 4563230720.

The previous prime is 17112116341. The next prime is 17112116453. The reversal of 17112116400 is 461121171.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7128849 + ... + 7131248.

Almost surely, 2^17112116400 is an apocalyptic number.

17112116400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17112116400 is an abundant number, since it is smaller than the sum of its proper divisors (37703700312).

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

17112116400 is a wasteful number, since it uses less digits than its factorization.

17112116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14260118 (or 14260107 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

Adding to 17112116400 its reverse (461121171), we get a palindrome (17573237571).

The spelling of 17112116400 in words is "seventeen billion, one hundred twelve million, one hundred sixteen thousand, four hundred".