52829210880 has 864 divisors, whose sum is σ = 204741298944. Its totient is φ = 12995002368.

The previous prime is 52829210867. The next prime is 52829210881. The reversal of 52829210880 is 8801292825.

52829210880 is a `hidden beast` number, since 528 + 29 + 21 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (52829210881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 512904909 + ... + 512905011.

It is an arithmetic number, because the mean of its divisors is an integer number (236969096).

Almost surely, 2^52829210880 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 52829210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102370649472).

52829210880 is an abundant number, since it is smaller than the sum of its proper divisors (151912088064).

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

52829210880 is a wasteful number, since it uses less digits than its factorization.

52829210880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 52829210880 in words is "fifty-two billion, eight hundred twenty-nine million, two hundred ten thousand, eight hundred eighty".