53829756064 has 192 divisors, whose sum is σ = 135173283840. Its totient is φ = 20577162240.

The previous prime is 53829756061. The next prime is 53829756077. The reversal of 53829756064 is 46065792835.

It is a junction number, because it is equal to n+sod(n) for n = 53829755996 and 53829756014.

It is not an unprimeable number, because it can be changed into a prime (53829756061) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4876119 + ... + 4887145.

It is an arithmetic number, because the mean of its divisors is an integer number (704027520).

Almost surely, 2^53829756064 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 53829756064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67586641920).

53829756064 is an abundant number, since it is smaller than the sum of its proper divisors (81343527776).

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

53829756064 is a wasteful number, since it uses less digits than its factorization.

53829756064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11131 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 53829756064 in words is "fifty-three billion, eight hundred twenty-nine million, seven hundred fifty-six thousand, sixty-four".