52082933760 has 1152 divisors, whose sum is σ = 224507181600. Its totient is φ = 11041505280.

The previous prime is 52082933687. The next prime is 52082933761. The reversal of 52082933760 is 6733928025.

52082933760 is a `hidden beast` number, since 520 + 8 + 2 + 93 + 37 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (52082933761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2741207031 + ... + 2741207049.

Almost surely, 2^52082933760 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 52082933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112253590800).

52082933760 is an abundant number, since it is smaller than the sum of its proper divisors (172424247840).

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

52082933760 is a wasteful number, since it uses less digits than its factorization.

52082933760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 52082933760 in words is "fifty-two billion, eighty-two million, nine hundred thirty-three thousand, seven hundred sixty".