26820443520640 has 1536 divisors, whose sum is σ = 89191317196800. Its totient is φ = 7466950656000.

The previous prime is 26820443520631. The next prime is 26820443520737. The reversal of 26820443520640 is 4602534402862.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36891943957 + ... + 36891944683.

It is an arithmetic number, because the mean of its divisors is an integer number (58067263800).

Almost surely, 2^{26820443520640} is an apocalyptic number.

26820443520640 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 26820443520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44595658598400).

26820443520640 is an abundant number, since it is smaller than the sum of its proper divisors (62370873676160).

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

26820443520640 is a wasteful number, since it uses less digits than its factorization.

26820443520640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 46.

The spelling of 26820443520640 in words is "twenty-six trillion, eight hundred twenty billion, four hundred forty-three million, five hundred twenty thousand, six hundred forty".