52021534400 has 168 divisors, whose sum is σ = 139812003840. Its totient is φ = 18893952000.

The previous prime is 52021534391. The next prime is 52021534451. The reversal of 52021534400 is 443512025.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 52021534400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22509245 + ... + 22511555.

Almost surely, 2^52021534400 is an apocalyptic number.

52021534400 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 52021534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69906001920).

52021534400 is an abundant number, since it is smaller than the sum of its proper divisors (87790469440).

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

52021534400 is a wasteful number, since it uses less digits than its factorization.

52021534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 52021534400 in words is "fifty-two billion, twenty-one million, five hundred thirty-four thousand, four hundred".