826303887360 has 1296 divisors, whose sum is σ = 3473119966680. Its totient is φ = 188116992000.

The previous prime is 826303887341. The next prime is 826303887371. The reversal of 826303887360 is 63788303628.

826303887360 is a `hidden beast` number, since 82 + 63 + 0 + 388 + 73 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×826303887360² (a number of 25 digits) contains 22 as substring.

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 = 826303887297 and 826303887306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3292047235 + ... + 3292047485.

Almost surely, 2^826303887360 is an apocalyptic number.

826303887360 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 826303887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736559983340).

826303887360 is an abundant number, since it is smaller than the sum of its proper divisors (2646816079320).

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

826303887360 is an frugal number, since it uses more digits than its factorization.

826303887360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 826303887360 in words is "eight hundred twenty-six billion, three hundred three million, eight hundred eighty-seven thousand, three hundred sixty".