26945889998400 has 252 divisors, whose sum is σ = 97084005028452. Its totient is φ = 7087137914880.

The previous prime is 26945889998347. The next prime is 26945889998429. The reversal of 26945889998400 is 489998854962.

26945889998400 is a `hidden beast` number, since 2 + 6 + 9 + 45 + 8 + 89 + 9 + 98 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1044467648064 + 25901422350336 = 1021992^2 + 5089344^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 26945889998400.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 11765529 + ... + 13867928.

Almost surely, 2^{26945889998400} is an apocalyptic number.

26945889998400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26945889998400 is an abundant number, since it is smaller than the sum of its proper divisors (70138115030052).

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

26945889998400 is a wasteful number, since it uses less digits than its factorization.

26945889998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25633558 (or 25633540 counting only the distinct ones).

The product of its (nonzero) digits is 3224862720, while the sum is 81.

The spelling of 26945889998400 in words is "twenty-six trillion, nine hundred forty-five billion, eight hundred eighty-nine million, nine hundred ninety-eight thousand, four hundred".