172279208400 has 360 divisors, whose sum is σ = 602380016640. Its totient is φ = 42066984960.

The previous prime is 172279208363. The next prime is 172279208401. The reversal of 172279208400 is 4802972271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172279208401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25752256 + ... + 25758944.

It is an arithmetic number, because the mean of its divisors is an integer number (1673277824).

Almost surely, 2^172279208400 is an apocalyptic number.

172279208400 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 172279208400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301190008320).

172279208400 is an abundant number, since it is smaller than the sum of its proper divisors (430100808240).

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

172279208400 is a wasteful number, since it uses less digits than its factorization.

172279208400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6863 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 172279208400 in words is "one hundred seventy-two billion, two hundred seventy-nine million, two hundred eight thousand, four hundred".