826105585920 has 288 divisors, whose sum is σ = 2660371633920. Its totient is φ = 218463436800.

The previous prime is 826105585883. The next prime is 826105585937. The reversal of 826105585920 is 29585501628.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578099766 + ... + 578101194.

Almost surely, 2^826105585920 is an apocalyptic number.

826105585920 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 826105585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330185816960).

826105585920 is an abundant number, since it is smaller than the sum of its proper divisors (1834266048000).

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

826105585920 is a wasteful number, since it uses less digits than its factorization.

826105585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 51.

The spelling of 826105585920 in words is "eight hundred twenty-six billion, one hundred five million, five hundred eighty-five thousand, nine hundred twenty".