826081105500 has 384 divisors, whose sum is σ = 3125718435840. Its totient is φ = 184426502400.

The previous prime is 826081105477. The next prime is 826081105501. The reversal of 826081105500 is 5501180628.

826081105500 is a `hidden beast` number, since 8 + 2 + 60 + 81 + 10 + 5 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826081105501) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 3961854 + ... + 4165146.

It is an arithmetic number, because the mean of its divisors is an integer number (8139891760).

Almost surely, 2^826081105500 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 826081105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562859217920).

826081105500 is an abundant number, since it is smaller than the sum of its proper divisors (2299637330340).

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

826081105500 is a wasteful number, since it uses less digits than its factorization.

826081105500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203371 (or 203353 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 826081105500 in words is "eight hundred twenty-six billion, eighty-one million, one hundred five thousand, five hundred".