172832778000 has 1120 divisors, whose sum is σ = 700255895040. Its totient is φ = 40982630400.

The previous prime is 172832777989. The next prime is 172832778037. The reversal of 172832778000 is 877238271.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 470933817 + ... + 470934183.

Almost surely, 2^172832778000 is an apocalyptic number.

172832778000 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 172832778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350127947520).

172832778000 is an abundant number, since it is smaller than the sum of its proper divisors (527423117040).

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

172832778000 is a wasteful number, since it uses less digits than its factorization.

172832778000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 172832778000 in words is "one hundred seventy-two billion, eight hundred thirty-two million, seven hundred seventy-eight thousand".