268257540096 has 768 divisors, whose sum is σ = 990662400000. Its totient is φ = 69837520896.

The previous prime is 268257540091. The next prime is 268257540097. The reversal of 268257540096 is 690045752862.

268257540096 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 5 + 7 + 540 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268257540091) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 447842005 + ... + 447842603.

It is an arithmetic number, because the mean of its divisors is an integer number (1289925000).

Almost surely, 2^268257540096 is an apocalyptic number.

268257540096 is a gapful number since it is divisible by the number (26) 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 268257540096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200000).

268257540096 is an abundant number, since it is smaller than the sum of its proper divisors (722404859904).

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

268257540096 is a wasteful number, since it uses less digits than its factorization.

268257540096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 268257540096 in words is "two hundred sixty-eight billion, two hundred fifty-seven million, five hundred forty thousand, ninety-six".