172782088128 has 672 divisors, whose sum is σ = 585150325760. Its totient is φ = 48283361280.

The previous prime is 172782088121. The next prime is 172782088133. The reversal of 172782088128 is 821880287271.

It is a happy number.

172782088128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172782088121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373179225 + ... + 373179687.

Almost surely, 2^172782088128 is an apocalyptic number.

172782088128 is a gapful number since it is divisible by the number (18) 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 172782088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292575162880).

172782088128 is an abundant number, since it is smaller than the sum of its proper divisors (412368237632).

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

172782088128 is a wasteful number, since it uses less digits than its factorization.

172782088128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 54.

The spelling of 172782088128 in words is "one hundred seventy-two billion, seven hundred eighty-two million, eighty-eight thousand, one hundred twenty-eight".