172661907600 has 2160 divisors, whose sum is σ = 821160692352. Its totient is φ = 33164328960.

The previous prime is 172661907493. The next prime is 172661907629. The reversal of 172661907600 is 6709166271.

It is a happy number.

172661907600 is a `hidden beast` number, since 1 + 7 + 26 + 6 + 19 + 0 + 7 + 600 = 666.

172661907600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1676329149 + ... + 1676329251.

Almost surely, 2^172661907600 is an apocalyptic number.

172661907600 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 172661907600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410580346176).

172661907600 is an abundant number, since it is smaller than the sum of its proper divisors (648498784752).

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

172661907600 is a wasteful number, since it uses less digits than its factorization.

172661907600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 172661907600 in words is "one hundred seventy-two billion, six hundred sixty-one million, nine hundred seven thousand, six hundred".