250772640104448 has 2160 divisors, whose sum is σ = 955781263261440. Its totient is φ = 64129062666240.

The previous prime is 250772640104401. The next prime is 250772640104449. The reversal of 250772640104448 is 844401046277052.

250772640104448 is a `hidden beast` number, since 2 + 5 + 0 + 77 + 26 + 4 + 0 + 104 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 250772640104394 and 250772640104403.

It is not an unprimeable number, because it can be changed into a prime (250772640104449) 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 119 ways as a sum of consecutive naturals, for example, 710404079440 + ... + 710404079792.

It is an arithmetic number, because the mean of its divisors is an integer number (442491325584).

Almost surely, 2^{250772640104448} is an apocalyptic number.

250772640104448 is a gapful number since it is divisible by the number (28) 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 250772640104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477890631630720).

250772640104448 is an abundant number, since it is smaller than the sum of its proper divisors (705008623156992).

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

250772640104448 is an frugal number, since it uses more digits than its factorization.

250772640104448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 250772640104448 in words is "two hundred fifty trillion, seven hundred seventy-two billion, six hundred forty million, one hundred four thousand, four hundred forty-eight".