268005253032 has 48 divisors (see below), whose sum is σ = 791833704480. Its totient is φ = 81213712800.

The previous prime is 268005253031. The next prime is 268005253067. The reversal of 268005253032 is 230352500862.

268005253032 is a `hidden beast` number, since 26 + 80 + 0 + 525 + 3 + 0 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (268005253031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169194444 + ... + 169196027.

It is an arithmetic number, because the mean of its divisors is an integer number (16496535510).

Almost surely, 2^268005253032 is an apocalyptic number.

268005253032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

268005253032 is an abundant number, since it is smaller than the sum of its proper divisors (523828451448).

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

268005253032 is a wasteful number, since it uses less digits than its factorization.

268005253032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338390494 (or 338390487 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 268005253032 its reverse (230352500862), we get a palindrome (498357753894).

The spelling of 268005253032 in words is "two hundred sixty-eight billion, five million, two hundred fifty-three thousand, thirty-two".