26828758967040 has 144 divisors (see below), whose sum is σ = 95204832290400. Its totient is φ = 7154335715328.

The previous prime is 26828758966967. The next prime is 26828758967053. The reversal of 26828758967040 is 4076985782862.

26828758967040 is a `hidden beast` number, since 268 + 287 + 5 + 89 + 6 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 26828758967040.

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 15 ways as a sum of consecutive naturals, for example, 388112995 + ... + 388182114.

Almost surely, 2^{26828758967040} is an apocalyptic number.

26828758967040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26828758967040 is an abundant number, since it is smaller than the sum of its proper divisors (68376073323360).

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

26828758967040 is an equidigital number, since it uses as much as digits as its factorization.

26828758967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776295139 (or 776295119 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 26828758967040 in words is "twenty-six trillion, eight hundred twenty-eight billion, seven hundred fifty-eight million, nine hundred sixty-seven thousand, forty".