172221603840 has 1344 divisors, whose sum is σ = 733356554112. Its totient is φ = 38539100160.

The previous prime is 172221603751. The next prime is 172221603859. The reversal of 172221603840 is 48306122271.

It is a happy number.

172221603840 is a `hidden beast` number, since 1 + 7 + 2 + 2 + 2 + 1 + 603 + 8 + 40 = 666.

172221603840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 172221603795 and 172221603804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13247815674 + ... + 13247815686.

It is an arithmetic number, because the mean of its divisors is an integer number (545652198).

Almost surely, 2^172221603840 is an apocalyptic number.

172221603840 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 172221603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366678277056).

172221603840 is an abundant number, since it is smaller than the sum of its proper divisors (561134950272).

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

172221603840 is an frugal number, since it uses more digits than its factorization.

172221603840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 172221603840 in words is "one hundred seventy-two billion, two hundred twenty-one million, six hundred three thousand, eight hundred forty".