826890644000 has 96 divisors (see below), whose sum is σ = 2034412039296. Its totient is φ = 330309907200.

The previous prime is 826890643993. The next prime is 826890644071. The reversal of 826890644000 is 446098628.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2832887 + ... + 3111113.

It is an arithmetic number, because the mean of its divisors is an integer number (21191792076).

Almost surely, 2^826890644000 is an apocalyptic number.

826890644000 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 826890644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017206019648).

826890644000 is an abundant number, since it is smaller than the sum of its proper divisors (1207521395296).

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

826890644000 is a wasteful number, since it uses less digits than its factorization.

826890644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278995 (or 278977 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 826890644000 in words is "eight hundred twenty-six billion, eight hundred ninety million, six hundred forty-four thousand".