26427536755984 has 405 divisors, whose sum is σ = 66935483509167. Its totient is φ = 10073610054144.

The previous prime is 26427536755973. The next prime is 26427536756003. The reversal of 26427536755984 is 48955763572462.

The square root of 26427536755984 is 5140772.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3388765539600 + 23038771216384 = 1840860^2 + 4799872^2 .

Its product of digits (3048192000) is a multiple of the sum of its prime factors (1080).

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 80 ways as a sum of consecutive naturals, for example, 54265988989 + ... + 54265989475.

Almost surely, 2^{26427536755984} is an apocalyptic number.

26427536755984 is the 5140772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26427536755984

26427536755984 is an abundant number, since it is smaller than the sum of its proper divisors (40507946753183).

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

26427536755984 is an equidigital number, since it uses as much as digits as its factorization.

26427536755984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 538 counting only the distinct ones).

The product of its digits is 3048192000, while the sum is 73.

The spelling of 26427536755984 in words is "twenty-six trillion, four hundred twenty-seven billion, five hundred thirty-six million, seven hundred fifty-five thousand, nine hundred eighty-four".