52946010000 has 675 divisors, whose sum is σ = 203954408229. Its totient is φ = 12811968000.

The previous prime is 52946009983. The next prime is 52946010011. The reversal of 52946010000 is 1064925.

The square root of 52946010000 is 230100.

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

52946010000 is a `hidden beast` number, since 52 + 9 + 4 + 601 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 52296371856 + 649638144 = 228684^2 + 25488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 897389971 + ... + 897390029.

Almost surely, 2^52946010000 is an apocalyptic number.

52946010000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52946010000 is the 230100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52946010000

52946010000 is an abundant number, since it is smaller than the sum of its proper divisors (151008398229).

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

52946010000 is a wasteful number, since it uses less digits than its factorization.

52946010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 52946010000 its reverse (1064925), we get a palindrome (52947074925).

The spelling of 52946010000 in words is "fifty-two billion, nine hundred forty-six million, ten thousand".