52648372224 has 864 divisors, whose sum is σ = 195754890240. Its totient is φ = 14046068736.

The previous prime is 52648372213. The next prime is 52648372237. The reversal of 52648372224 is 42227384625.

52648372224 is a `hidden beast` number, since 52 + 6 + 4 + 8 + 372 + 224 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 52648372224.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 414554049 + ... + 414554175.

It is an arithmetic number, because the mean of its divisors is an integer number (226568160).

Almost surely, 2^52648372224 is an apocalyptic number.

52648372224 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 52648372224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97877445120).

52648372224 is an abundant number, since it is smaller than the sum of its proper divisors (143106518016).

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

52648372224 is a wasteful number, since it uses less digits than its factorization.

52648372224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 156 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 52648372224 in words is "fifty-two billion, six hundred forty-eight million, three hundred seventy-two thousand, two hundred twenty-four".