268510963392 has 896 divisors, whose sum is σ = 979651584000. Its totient is φ = 70424432640.

The previous prime is 268510963337. The next prime is 268510963393. The reversal of 268510963392 is 293369015862.

268510963392 is a `hidden beast` number, since 2 + 6 + 8 + 510 + 9 + 6 + 33 + 92 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (268510963393) 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 127 ways as a sum of consecutive naturals, for example, 1500061159 + ... + 1500061337.

Almost surely, 2^268510963392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268510963392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489825792000).

268510963392 is an abundant number, since it is smaller than the sum of its proper divisors (711140620608).

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

268510963392 is a wasteful number, since it uses less digits than its factorization.

268510963392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 268510963392 in words is "two hundred sixty-eight billion, five hundred ten million, nine hundred sixty-three thousand, three hundred ninety-two".