52829397504 has 480 divisors, whose sum is σ = 172661448960. Its totient is φ = 16028762112.

The previous prime is 52829397499. The next prime is 52829397547. The reversal of 52829397504 is 40579392825.

52829397504 is a `hidden beast` number, since 5 + 28 + 29 + 3 + 97 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 143949129 + ... + 143949495.

It is an arithmetic number, because the mean of its divisors is an integer number (359711352).

Almost surely, 2^52829397504 is an apocalyptic number.

52829397504 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 52829397504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86330724480).

52829397504 is an abundant number, since it is smaller than the sum of its proper divisors (119832051456).

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

52829397504 is an equidigital number, since it uses as much as digits as its factorization.

52829397504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 52829397504 in words is "fifty-two billion, eight hundred twenty-nine million, three hundred ninety-seven thousand, five hundred four".