826169190400 has 72 divisors (see below), whose sum is σ = 2048399499510. Its totient is φ = 330467655680.

The previous prime is 826169190397. The next prime is 826169190523. The reversal of 826169190400 is 4091961628.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 622558872576 + 203610317824 = 789024^2 + 451232^2 .

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 5 ways as a sum of consecutive naturals, for example, 8016859 + ... + 8119258.

Almost surely, 2^826169190400 is an apocalyptic number.

826169190400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

826169190400 is an abundant number, since it is smaller than the sum of its proper divisors (1222230309110).

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

826169190400 is a wasteful number, since it uses less digits than its factorization.

826169190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16136149 (or 16136124 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 826169190400 in words is "eight hundred twenty-six billion, one hundred sixty-nine million, one hundred ninety thousand, four hundred".