249242572800 has 1728 divisors, whose sum is σ = 1055759927040. Its totient is φ = 57808650240.

The previous prime is 249242572769. The next prime is 249242572811. The reversal of 249242572800 is 8275242942.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3720038367 + ... + 3720038433.

It is an arithmetic number, because the mean of its divisors is an integer number (610972180).

Almost surely, 2^249242572800 is an apocalyptic number.

249242572800 is a gapful number since it is divisible by the number (20) 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 249242572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527879963520).

249242572800 is an abundant number, since it is smaller than the sum of its proper divisors (806517354240).

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

249242572800 is a wasteful number, since it uses less digits than its factorization.

249242572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 249242572800 in words is "two hundred forty-nine billion, two hundred forty-two million, five hundred seventy-two thousand, eight hundred".