172261133771100 has 144 divisors (see below), whose sum is σ = 543788665714560. Its totient is φ = 41754907180800.

The previous prime is 172261133771093. The next prime is 172261133771201. The reversal of 172261133771100 is 1177331162271.

It is a super-3 number, since 3×172261133771100³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22352799 + ... + 29054601.

Almost surely, 2^{172261133771100} is an apocalyptic number.

172261133771100 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 172261133771100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271894332857280).

172261133771100 is an abundant number, since it is smaller than the sum of its proper divisors (371527531943460).

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

172261133771100 is a wasteful number, since it uses less digits than its factorization.

172261133771100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6709620 (or 6709613 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 42.

The spelling of 172261133771100 in words is "one hundred seventy-two trillion, two hundred sixty-one billion, one hundred thirty-three million, seven hundred seventy-one thousand, one hundred".