26882541416640 has 224 divisors, whose sum is σ = 105048700646400. Its totient is φ = 5671920807936.

The previous prime is 26882541416609. The next prime is 26882541416683. The reversal of 26882541416640 is 4661414528862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153773340 + ... + 153948059.

It is an arithmetic number, because the mean of its divisors is an integer number (468967413600).

Almost surely, 2^{26882541416640} is an apocalyptic number.

26882541416640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26882541416640 is an abundant number, since it is smaller than the sum of its proper divisors (78166159229760).

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

26882541416640 is a wasteful number, since it uses less digits than its factorization.

26882541416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307721439 (or 307721429 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 26882541416640 in words is "twenty-six trillion, eight hundred eighty-two billion, five hundred forty-one million, four hundred sixteen thousand, six hundred forty".