52351135434400 has 288 divisors, whose sum is σ = 146780830425600. Its totient is φ = 18032099097600.

The previous prime is 52351135434361. The next prime is 52351135434413. The reversal of 52351135434400 is 443453115325.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1318017741 + ... + 1318057459.

It is an arithmetic number, because the mean of its divisors is an integer number (509655661200).

Almost surely, 2^{52351135434400} is an apocalyptic number.

52351135434400 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 52351135434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73390415212800).

52351135434400 is an abundant number, since it is smaller than the sum of its proper divisors (94429694991200).

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

52351135434400 is a wasteful number, since it uses less digits than its factorization.

52351135434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47652 (or 47639 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 52351135434400 its reverse (443453115325), we get a palindrome (52794588549725).

The spelling of 52351135434400 in words is "fifty-two trillion, three hundred fifty-one billion, one hundred thirty-five million, four hundred thirty-four thousand, four hundred".