52087295520 has 288 divisors, whose sum is σ = 202682097072. Its totient is φ = 12067209216.

The previous prime is 52087295489. The next prime is 52087295539. The reversal of 52087295520 is 2559278025.

52087295520 is a `hidden beast` number, since 5 + 20 + 8 + 72 + 9 + 552 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12840515856 + 39246779664 = 113316^2 + 198108^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236404 + ... + 400076.

Almost surely, 2^52087295520 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 52087295520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101341048536).

52087295520 is an abundant number, since it is smaller than the sum of its proper divisors (150594801552).

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

52087295520 is a wasteful number, since it uses less digits than its factorization.

52087295520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163724 (or 163713 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 52087295520 in words is "fifty-two billion, eighty-seven million, two hundred ninety-five thousand, five hundred twenty".