172212628560 has 480 divisors, whose sum is σ = 638253292032. Its totient is φ = 38281420800.

The previous prime is 172212628543. The next prime is 172212628561. The reversal of 172212628560 is 65826212271.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172212628561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95619660 + ... + 95621460.

Almost surely, 2^172212628560 is an apocalyptic number.

172212628560 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 172212628560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319126646016).

172212628560 is an abundant number, since it is smaller than the sum of its proper divisors (466040663472).

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

172212628560 is a wasteful number, since it uses less digits than its factorization.

172212628560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 172212628560 in words is "one hundred seventy-two billion, two hundred twelve million, six hundred twenty-eight thousand, five hundred sixty".