26979255636480 has 2240 divisors, whose sum is σ = 120264383086848. Its totient is φ = 5660470149120.

The previous prime is 26979255636461. The next prime is 26979255636581. The reversal of 26979255636480 is 8463655297962.

26979255636480 is a `hidden beast` number, since 2 + 6 + 9 + 7 + 9 + 2 + 556 + 3 + 64 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a junction number, because it is equal to n+sod(n) for n = 26979255636399 and 26979255636408.

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 223 ways as a sum of consecutive naturals, for example, 9105383479 + ... + 9105386441.

Almost surely, 2^{26979255636480} is an apocalyptic number.

26979255636480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26979255636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60132191543424).

26979255636480 is an abundant number, since it is smaller than the sum of its proper divisors (93285127450368).

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

26979255636480 is an equidigital number, since it uses as much as digits as its factorization.

26979255636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 26979255636480 in words is "twenty-six trillion, nine hundred seventy-nine billion, two hundred fifty-five million, six hundred thirty-six thousand, four hundred eighty".