266382501120 has 288 divisors, whose sum is σ = 945992960640. Its totient is φ = 70982369280.

The previous prime is 266382501107. The next prime is 266382501139. The reversal of 266382501120 is 21105283662.

266382501120 is a `hidden beast` number, since 2 + 6 + 63 + 82 + 501 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73645552 + ... + 73649168.

It is an arithmetic number, because the mean of its divisors is an integer number (3284697780).

Almost surely, 2^266382501120 is an apocalyptic number.

266382501120 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 266382501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472996480320).

266382501120 is an abundant number, since it is smaller than the sum of its proper divisors (679610459520).

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

266382501120 is a wasteful number, since it uses less digits than its factorization.

266382501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5778 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 266382501120 its reverse (21105283662), we get a palindrome (287487784782).

The spelling of 266382501120 in words is "two hundred sixty-six billion, three hundred eighty-two million, five hundred one thousand, one hundred twenty".