52938338400 has 288 divisors, whose sum is σ = 194162572800. Its totient is φ = 13917657600.

The previous prime is 52938338381. The next prime is 52938338413. The reversal of 52938338400 is 483383925.

52938338400 is a `hidden beast` number, since 52 + 93 + 83 + 38 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1516341 + ... + 1550859.

It is an arithmetic number, because the mean of its divisors is an integer number (674175600).

Almost surely, 2^52938338400 is an apocalyptic number.

52938338400 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 52938338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97081286400).

52938338400 is an abundant number, since it is smaller than the sum of its proper divisors (141224234400).

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

52938338400 is a wasteful number, since it uses less digits than its factorization.

52938338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34619 (or 34600 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 52938338400 in words is "fifty-two billion, nine hundred thirty-eight million, three hundred thirty-eight thousand, four hundred".