52286826009600 has 1584 divisors, whose sum is σ = 231170484225408. Its totient is φ = 10995746734080.

The previous prime is 52286826009559. The next prime is 52286826009611. The reversal of 52286826009600 is 690062868225.

52286826009600 is a `hidden beast` number, since 5 + 2 + 2 + 8 + 6 + 8 + 26 + 0 + 0 + 9 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6646344867 + ... + 6646352733.

Almost surely, 2^{52286826009600} is an apocalyptic number.

52286826009600 is a gapful number since it is divisible by the number (50) 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 52286826009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115585242112704).

52286826009600 is an abundant number, since it is smaller than the sum of its proper divisors (178883658215808).

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

52286826009600 is a wasteful number, since it uses less digits than its factorization.

52286826009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8240 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 52286826009600 in words is "fifty-two trillion, two hundred eighty-six billion, eight hundred twenty-six million, nine thousand, six hundred".