52946745120 has 432 divisors, whose sum is σ = 193791806208. Its totient is φ = 13655278080.

The previous prime is 52946745113. The next prime is 52946745121. The reversal of 52946745120 is 2154764925.

52946745120 is a `hidden beast` number, since 5 + 29 + 46 + 74 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (52946745121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32541747 + ... + 32543373.

It is an arithmetic number, because the mean of its divisors is an integer number (448592144).

Almost surely, 2^52946745120 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 52946745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96895903104).

52946745120 is an abundant number, since it is smaller than the sum of its proper divisors (140845061088).

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

52946745120 is an equidigital number, since it uses as much as digits as its factorization.

52946745120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 52946745120 in words is "fifty-two billion, nine hundred forty-six million, seven hundred forty-five thousand, one hundred twenty".