52141824000 has 1152 divisors, whose sum is σ = 222432013440. Its totient is φ = 11501568000.

The previous prime is 52141823959. The next prime is 52141824029. The reversal of 52141824000 is 42814125.

52141824000 is a `hidden beast` number, since 5 + 2 + 1 + 418 + 240 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 854783970 + ... + 854784030.

It is an arithmetic number, because the mean of its divisors is an integer number (193083345).

Almost surely, 2^52141824000 is an apocalyptic number.

52141824000 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 52141824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111216006720).

52141824000 is an abundant number, since it is smaller than the sum of its proper divisors (170290189440).

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

52141824000 is a wasteful number, since it uses less digits than its factorization.

52141824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 52141824000 in words is "fifty-two billion, one hundred forty-one million, eight hundred twenty-four thousand".