172878249600 has 1152 divisors, whose sum is σ = 757784177280. Its totient is φ = 36628070400.

The previous prime is 172878249571. The next prime is 172878249611. The reversal of 172878249600 is 6942878271.

It is a happy number.

172878249600 is a `hidden beast` number, since 1 + 7 + 2 + 8 + 7 + 8 + 24 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 250185255 + ... + 250185945.

It is an arithmetic number, because the mean of its divisors is an integer number (657798765).

Almost surely, 2^172878249600 is an apocalyptic number.

172878249600 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 172878249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378892088640).

172878249600 is an abundant number, since it is smaller than the sum of its proper divisors (584905927680).

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

172878249600 is a wasteful number, since it uses less digits than its factorization.

172878249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 172878249600 in words is "one hundred seventy-two billion, eight hundred seventy-eight million, two hundred forty-nine thousand, six hundred".