172424849520 has 1440 divisors, whose sum is σ = 747893917440. Its totient is φ = 32397926400.

The previous prime is 172424849507. The next prime is 172424849521. The reversal of 172424849520 is 25948424271.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 172424849520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172424849521) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2361984204 + ... + 2361984276.

It is an arithmetic number, because the mean of its divisors is an integer number (519370776).

Almost surely, 2^172424849520 is an apocalyptic number.

172424849520 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 172424849520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373946958720).

172424849520 is an abundant number, since it is smaller than the sum of its proper divisors (575469067920).

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

172424849520 is a wasteful number, since it uses less digits than its factorization.

172424849520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 172424849520 in words is "one hundred seventy-two billion, four hundred twenty-four million, eight hundred forty-nine thousand, five hundred twenty".