52850029824 has 180 divisors, whose sum is σ = 158034842196. Its totient is φ = 17566875648.

The previous prime is 52850029819. The next prime is 52850029871. The reversal of 52850029824 is 42892005825.

52850029824 is a `hidden beast` number, since 52 + 8 + 500 + 2 + 98 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16610054400 + 36239975424 = 128880^2 + 190368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 52850029824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7731112 + ... + 7737944.

Almost surely, 2^52850029824 is an apocalyptic number.

52850029824 is a gapful number since it is divisible by the number (54) 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 52850029824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79017421098).

52850029824 is an abundant number, since it is smaller than the sum of its proper divisors (105184812372).

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

52850029824 is an equidigital number, since it uses as much as digits as its factorization.

52850029824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7234 (or 7211 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 52850029824 in words is "fifty-two billion, eight hundred fifty million, twenty-nine thousand, eight hundred twenty-four".