52354442400 has 432 divisors, whose sum is σ = 190936841760. Its totient is φ = 12440064000.

The previous prime is 52354442389. The next prime is 52354442431. The reversal of 52354442400 is 424445325.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11760175 + ... + 11764625.

It is an arithmetic number, because the mean of its divisors is an integer number (441983430).

Almost surely, 2^52354442400 is an apocalyptic number.

52354442400 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 52354442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95468420880).

52354442400 is an abundant number, since it is smaller than the sum of its proper divisors (138582399360).

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

52354442400 is a wasteful number, since it uses less digits than its factorization.

52354442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4529 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 52354442400 its reverse (424445325), we get a palindrome (52778887725).

The spelling of 52354442400 in words is "fifty-two billion, three hundred fifty-four million, four hundred forty-two thousand, four hundred".