268510553640 has 256 divisors, whose sum is σ = 1046686924800. Its totient is φ = 59946469632.

The previous prime is 268510553569. The next prime is 268510553659. The reversal of 268510553640 is 46355015862.

268510553640 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 105 + 536 + 4 + 0 = 666.

268510553640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87912 + ... + 738071.

It is an arithmetic number, because the mean of its divisors is an integer number (4088620800).

Almost surely, 2^268510553640 is an apocalyptic number.

268510553640 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 268510553640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523343462400).

268510553640 is an abundant number, since it is smaller than the sum of its proper divisors (778176371160).

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

268510553640 is a wasteful number, since it uses less digits than its factorization.

268510553640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826053 (or 826043 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 268510553640 in words is "two hundred sixty-eight billion, five hundred ten million, five hundred fifty-three thousand, six hundred forty".