172354980480 has 256 divisors, whose sum is σ = 580300554240. Its totient is φ = 43443671040.

The previous prime is 172354980443. The next prime is 172354980509. The reversal of 172354980480 is 84089453271.

It is a happy number.

172354980480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×172354980480² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2525689 + ... + 2593031.

It is an arithmetic number, because the mean of its divisors is an integer number (2266799040).

Almost surely, 2^172354980480 is an apocalyptic number.

172354980480 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 172354980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290150277120).

172354980480 is an abundant number, since it is smaller than the sum of its proper divisors (407945573760).

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

172354980480 is a wasteful number, since it uses less digits than its factorization.

172354980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67439 (or 67427 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 172354980480 in words is "one hundred seventy-two billion, three hundred fifty-four million, nine hundred eighty thousand, four hundred eighty".