172347610400 has 144 divisors (see below), whose sum is σ = 483344313984. Its totient is φ = 58784071680.

The previous prime is 172347610399. The next prime is 172347610403. The reversal of 172347610400 is 4016743271.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (172347610403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1001069 + ... + 1160531.

It is an arithmetic number, because the mean of its divisors is an integer number (3356557736).

Almost surely, 2^172347610400 is an apocalyptic number.

172347610400 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 172347610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241672156992).

172347610400 is an abundant number, since it is smaller than the sum of its proper divisors (310996703584).

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

172347610400 is a wasteful number, since it uses less digits than its factorization.

172347610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159683 (or 159670 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 172347610400 in words is "one hundred seventy-two billion, three hundred forty-seven million, six hundred ten thousand, four hundred".