52321321214400 has 1008 divisors, whose sum is σ = 210008563163136. Its totient is φ = 11348974264320.

The previous prime is 52321321214359. The next prime is 52321321214443. The reversal of 52321321214400 is 441212312325.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 686981122 + ... + 687057278.

Almost surely, 2^{52321321214400} is an apocalyptic number.

52321321214400 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 52321321214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105004281581568).

52321321214400 is an abundant number, since it is smaller than the sum of its proper divisors (157687241948736).

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

52321321214400 is a wasteful number, since it uses less digits than its factorization.

52321321214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76346 (or 76324 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 52321321214400 its reverse (441212312325), we get a palindrome (52762533526725).

The spelling of 52321321214400 in words is "fifty-two trillion, three hundred twenty-one billion, three hundred twenty-one million, two hundred fourteen thousand, four hundred".