52006827600 has 1200 divisors, whose sum is σ = 237548129280. Its totient is φ = 10600243200.

The previous prime is 52006827589. The next prime is 52006827617. The reversal of 52006827600 is 672860025.

52006827600 is a `hidden beast` number, since 5 + 20 + 0 + 6 + 8 + 27 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×52006827600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 91400116 + ... + 91400684.

Almost surely, 2^52006827600 is an apocalyptic number.

52006827600 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 52006827600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118774064640).

52006827600 is an abundant number, since it is smaller than the sum of its proper divisors (185541301680).

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

52006827600 is a wasteful number, since it uses less digits than its factorization.

52006827600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 52006827600 in words is "fifty-two billion, six million, eight hundred twenty-seven thousand, six hundred".