826826434560 has 672 divisors, whose sum is σ = 3399629425920. Its totient is φ = 188976955392.

The previous prime is 826826434559. The next prime is 826826434579. The reversal of 826826434560 is 65434628628.

It is a happy number.

826826434560 is a `hidden beast` number, since 8 + 26 + 8 + 26 + 4 + 34 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 826826434497 and 826826434506.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 52246809 + ... + 52262631.

It is an arithmetic number, because the mean of its divisors is an integer number (5058972360).

Almost surely, 2^826826434560 is an apocalyptic number.

826826434560 is a gapful number since it is divisible by the number (80) 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 826826434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699814712960).

826826434560 is an abundant number, since it is smaller than the sum of its proper divisors (2572802991360).

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

826826434560 is an equidigital number, since it uses as much as digits as its factorization.

826826434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15875 (or 15840 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 826826434560 in words is "eight hundred twenty-six billion, eight hundred twenty-six million, four hundred thirty-four thousand, five hundred sixty".