826513839360 has 1296 divisors, whose sum is σ = 3388975873920. Its totient is φ = 191162695680.

The previous prime is 826513839341. The next prime is 826513839373. The reversal of 826513839360 is 63938315628.

It is a happy number.

826513839360 is a `hidden beast` number, since 8 + 2 + 65 + 138 + 393 + 60 = 666.

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

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 = 826513839297 and 826513839306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2124714046 + ... + 2124714434.

It is an arithmetic number, because the mean of its divisors is an integer number (2614950520).

Almost surely, 2^826513839360 is an apocalyptic number.

826513839360 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 826513839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694487936960).

826513839360 is an abundant number, since it is smaller than the sum of its proper divisors (2562462034560).

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

826513839360 is an equidigital number, since it uses as much as digits as its factorization.

826513839360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 826513839360 in words is "eight hundred twenty-six billion, five hundred thirteen million, eight hundred thirty-nine thousand, three hundred sixty".