826852147200 has 960 divisors, whose sum is σ = 3247797423420. Its totient is φ = 207240560640.

The previous prime is 826852147157. The next prime is 826852147201. The reversal of 826852147200 is 2741258628.

826852147200 is a `hidden beast` number, since 8 + 2 + 68 + 521 + 47 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 663351607296 + 163500539904 = 814464^2 + 404352^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (826852147201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1128038034 + ... + 1128038766.

Almost surely, 2^826852147200 is an apocalyptic number.

826852147200 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 826852147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623898711710).

826852147200 is an abundant number, since it is smaller than the sum of its proper divisors (2420945276220).

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

826852147200 is an equidigital number, since it uses as much as digits as its factorization.

826852147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 826852147200 in words is "eight hundred twenty-six billion, eight hundred fifty-two million, one hundred forty-seven thousand, two hundred".