172218933989800 has 192 divisors, whose sum is σ = 406669775040000. Its totient is φ = 67815804026880.

The previous prime is 172218933989761. The next prime is 172218933989803. The reversal of 172218933989800 is 8989339812271.

It is a super-2 number, since 2×172218933989800² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 172218933989800.

It is not an unprimeable number, because it can be changed into a prime (172218933989803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10946342734 + ... + 10946358466.

It is an arithmetic number, because the mean of its divisors is an integer number (2118071745000).

Almost surely, 2^{172218933989800} is an apocalyptic number.

172218933989800 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 172218933989800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203334887520000).

172218933989800 is an abundant number, since it is smaller than the sum of its proper divisors (234450841050200).

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

172218933989800 is a wasteful number, since it uses less digits than its factorization.

172218933989800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17820 (or 17811 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 70.

The spelling of 172218933989800 in words is "one hundred seventy-two trillion, two hundred eighteen billion, nine hundred thirty-three million, nine hundred eighty-nine thousand, eight hundred".