172280338560 has 640 divisors, whose sum is σ = 706544942400. Its totient is φ = 39564288000.

The previous prime is 172280338481. The next prime is 172280338561. The reversal of 172280338560 is 65833082271.

172280338560 is a `hidden beast` number, since 1 + 7 + 2 + 2 + 80 + 3 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (172280338561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10826610 + ... + 10842510.

Almost surely, 2^172280338560 is an apocalyptic number.

172280338560 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 172280338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353272471200).

172280338560 is an abundant number, since it is smaller than the sum of its proper divisors (534264603840).

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

172280338560 is a wasteful number, since it uses less digits than its factorization.

172280338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15962 (or 15941 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 172280338560 in words is "one hundred seventy-two billion, two hundred eighty million, three hundred thirty-eight thousand, five hundred sixty".