172820799900 has 648 divisors, whose sum is σ = 647098583040. Its totient is φ = 38452942080.

The previous prime is 172820799839. The next prime is 172820799911. The reversal of 172820799900 is 9997028271.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 330441039 + ... + 330441561.

Almost surely, 2^172820799900 is an apocalyptic number.

172820799900 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 172820799900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323549291520).

172820799900 is an abundant number, since it is smaller than the sum of its proper divisors (474277783140).

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

172820799900 is a wasteful number, since it uses less digits than its factorization.

172820799900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 172820799900 in words is "one hundred seventy-two billion, eight hundred twenty million, seven hundred ninety-nine thousand, nine hundred".