249623225280 has 896 divisors, whose sum is σ = 1039694745600. Its totient is φ = 55583539200.

The previous prime is 249623225279. The next prime is 249623225339. The reversal of 249623225280 is 82522326942.

249623225280 is a `hidden beast` number, since 2 + 4 + 96 + 2 + 32 + 2 + 528 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 347180761 + ... + 347181479.

It is an arithmetic number, because the mean of its divisors is an integer number (1160373600).

Almost surely, 2^249623225280 is an apocalyptic number.

249623225280 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 249623225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519847372800).

249623225280 is an abundant number, since it is smaller than the sum of its proper divisors (790071520320).

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

249623225280 is a wasteful number, since it uses less digits than its factorization.

249623225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 249623225280 in words is "two hundred forty-nine billion, six hundred twenty-three million, two hundred twenty-five thousand, two hundred eighty".