826207050240 has 2400 divisors, whose sum is σ = 3733839925200. Its totient is φ = 172842024960.

The previous prime is 826207050217. The next prime is 826207050241. The reversal of 826207050240 is 42050702628.

826207050240 is a `hidden beast` number, since 8 + 2 + 620 + 7 + 0 + 5 + 0 + 24 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 155563981056 + 670643069184 = 394416^2 + 818928^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 826207050195 and 826207050204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826207050241) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5545013686 + ... + 5545013834.

Almost surely, 2^826207050240 is an apocalyptic number.

826207050240 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 826207050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866919962600).

826207050240 is an abundant number, since it is smaller than the sum of its proper divisors (2907632874960).

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

826207050240 is a wasteful number, since it uses less digits than its factorization.

826207050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 826207050240 its reverse (42050702628), we get a palindrome (868257752868).

The spelling of 826207050240 in words is "eight hundred twenty-six billion, two hundred seven million, fifty thousand, two hundred forty".