52116048000 has 320 divisors, whose sum is σ = 193565263320. Its totient is φ = 13897267200.

The previous prime is 52116047993. The next prime is 52116048037. The reversal of 52116048000 is 84061125.

52116048000 is a `hidden beast` number, since 5 + 21 + 160 + 480 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13959895104 + 38156152896 = 118152^2 + 195336^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1275894 + ... + 1316106.

Almost surely, 2^52116048000 is an apocalyptic number.

52116048000 is a gapful number since it is divisible by the number (50) 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 52116048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96782631660).

52116048000 is an abundant number, since it is smaller than the sum of its proper divisors (141449215320).

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

52116048000 is an equidigital number, since it uses as much as digits as its factorization.

52116048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40254 (or 40223 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 52116048000 in words is "fifty-two billion, one hundred sixteen million, forty-eight thousand".