172128983040 has 1536 divisors, whose sum is σ = 764854272000. Its totient is φ = 35831808000.

The previous prime is 172128983023. The next prime is 172128983041. The reversal of 172128983040 is 40389821271.

It is a happy number.

172128983040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172128983041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1139926965 + ... + 1139927115.

It is an arithmetic number, because the mean of its divisors is an integer number (497952000).

Almost surely, 2^172128983040 is an apocalyptic number.

172128983040 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 172128983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382427136000).

172128983040 is an abundant number, since it is smaller than the sum of its proper divisors (592725288960).

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

172128983040 is a wasteful number, since it uses less digits than its factorization.

172128983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 172128983040 in words is "one hundred seventy-two billion, one hundred twenty-eight million, nine hundred eighty-three thousand, forty".