172057600000 has 672 divisors, whose sum is σ = 516031471872. Its totient is φ = 56524800000.

The previous prime is 172057599977. The next prime is 172057600007. The reversal of 172057600000 is 6750271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172057600007) 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 47 ways as a sum of consecutive naturals, for example, 3660799977 + ... + 3660800023.

It is an arithmetic number, because the mean of its divisors is an integer number (767903976).

Almost surely, 2^172057600000 is an apocalyptic number.

172057600000 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 172057600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258015735936).

172057600000 is an abundant number, since it is smaller than the sum of its proper divisors (343973871872).

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

172057600000 is an frugal number, since it uses more digits than its factorization.

172057600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The spelling of 172057600000 in words is "one hundred seventy-two billion, fifty-seven million, six hundred thousand".