52829315136 has 336 divisors, whose sum is σ = 172911950848. Its totient is φ = 15303168000.

The previous prime is 52829315101. The next prime is 52829315137. The reversal of 52829315136 is 63151392825.

52829315136 is a `hidden beast` number, since 52 + 82 + 9 + 3 + 1 + 513 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 52829315091 and 52829315100.

It is not an unprimeable number, because it can be changed into a prime (52829315137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8585661 + ... + 8591811.

Almost surely, 2^52829315136 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 52829315136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86455975424).

52829315136 is an abundant number, since it is smaller than the sum of its proper divisors (120082635712).

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

52829315136 is a wasteful number, since it uses less digits than its factorization.

52829315136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250 (or 6237 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 52829315136 in words is "fifty-two billion, eight hundred twenty-nine million, three hundred fifteen thousand, one hundred thirty-six".