52806597120 has 240 divisors, whose sum is σ = 185887144872. Its totient is φ = 13850542080.

The previous prime is 52806597101. The next prime is 52806597143. The reversal of 52806597120 is 2179560825.

52806597120 is a `hidden beast` number, since 52 + 8 + 0 + 6 + 597 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42146447616 + 10660149504 = 205296^2 + 103248^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1386654 + ... + 1424226.

Almost surely, 2^52806597120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52806597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92943572436).

52806597120 is an abundant number, since it is smaller than the sum of its proper divisors (133080547752).

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

52806597120 is a wasteful number, since it uses less digits than its factorization.

52806597120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37663 (or 37644 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 52806597120 in words is "fifty-two billion, eight hundred six million, five hundred ninety-seven thousand, one hundred twenty".