826509852000 has 1152 divisors, whose sum is σ = 3575215687680. Its totient is φ = 184841395200.

The previous prime is 826509851989. The next prime is 826509852023. The reversal of 826509852000 is 258905628.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 248722339 + ... + 248725661.

It is an arithmetic number, because the mean of its divisors is an integer number (3103485840).

Almost surely, 2^826509852000 is an apocalyptic number.

826509852000 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 826509852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787607843840).

826509852000 is an abundant number, since it is smaller than the sum of its proper divisors (2748705835680).

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

826509852000 is a wasteful number, since it uses less digits than its factorization.

826509852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 826509852000 in words is "eight hundred twenty-six billion, five hundred nine million, eight hundred fifty-two thousand".