826766266803400 has 384 divisors, whose sum is σ = 2453965800422400. Its totient is φ = 251527702809600.

The previous prime is 826766266803383. The next prime is 826766266803479. The reversal of 826766266803400 is 4308662667628.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 965721934 + ... + 966577666.

It is an arithmetic number, because the mean of its divisors is an integer number (6390535938600).

Almost surely, 2^{826766266803400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826766266803400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226982900211200).

826766266803400 is an abundant number, since it is smaller than the sum of its proper divisors (1627199533619000).

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

826766266803400 is a wasteful number, since it uses less digits than its factorization.

826766266803400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857269 (or 857260 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 64.

The spelling of 826766266803400 in words is "eight hundred twenty-six trillion, seven hundred sixty-six billion, two hundred sixty-six million, eight hundred three thousand, four hundred".