172158105600 has 864 divisors, whose sum is σ = 687574742400. Its totient is φ = 40874803200.

The previous prime is 172158105577. The next prime is 172158105631. The reversal of 172158105600 is 6501851271.

172158105600 is a `hidden beast` number, since 1 + 7 + 2 + 15 + 81 + 0 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 173721105 + ... + 173722095.

It is an arithmetic number, because the mean of its divisors is an integer number (795804100).

Almost surely, 2^172158105600 is an apocalyptic number.

172158105600 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 172158105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343787371200).

172158105600 is an abundant number, since it is smaller than the sum of its proper divisors (515416636800).

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

172158105600 is a wasteful number, since it uses less digits than its factorization.

172158105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

Adding to 172158105600 its reverse (6501851271), we get a palindrome (178659956871).

The spelling of 172158105600 in words is "one hundred seventy-two billion, one hundred fifty-eight million, one hundred five thousand, six hundred".