52032071520 has 1728 divisors, whose sum is σ = 235523635200. Its totient is φ = 10674892800.

The previous prime is 52032071477. The next prime is 52032071521. The reversal of 52032071520 is 2517023025.

52032071520 is a `hidden beast` number, since 52 + 0 + 3 + 20 + 71 + 520 = 666.

It is a super-2 number, since 2×52032071520² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52032071521) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 1678453905 + ... + 1678453935.

It is an arithmetic number, because the mean of its divisors is an integer number (136298400).

Almost surely, 2^52032071520 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 52032071520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117761817600).

52032071520 is an abundant number, since it is smaller than the sum of its proper divisors (183491563680).

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

52032071520 is a wasteful number, since it uses less digits than its factorization.

52032071520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 52032071520 its reverse (2517023025), we get a palindrome (54549094545).

The spelling of 52032071520 in words is "fifty-two billion, thirty-two million, seventy-one thousand, five hundred twenty".