52148289600 has 567 divisors, whose sum is σ = 204913318519. Its totient is φ = 12568934400.

The previous prime is 52148289587. The next prime is 52148289659. The reversal of 52148289600 is 698284125.

The square root of 52148289600 is 228360.

It is a perfect power (a square), and thus also a powerful number.

52148289600 is a `hidden beast` number, since 5 + 2 + 14 + 8 + 28 + 9 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5740789824 + 46407499776 = 75768^2 + 215424^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

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 80 ways as a sum of consecutive naturals, for example, 301435114 + ... + 301435286.

Almost surely, 2^52148289600 is an apocalyptic number.

52148289600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52148289600 is the 228360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52148289600

52148289600 is an abundant number, since it is smaller than the sum of its proper divisors (152765028919).

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

52148289600 is a wasteful number, since it uses less digits than its factorization.

52148289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 52148289600 in words is "fifty-two billion, one hundred forty-eight million, two hundred eighty-nine thousand, six hundred".