52121112534400 has 384 divisors, whose sum is σ = 158501202148800. Its totient is φ = 16492040847360.

The previous prime is 52121112534391. The next prime is 52121112534467. The reversal of 52121112534400 is 443521112125.

It is a super-2 number, since 2×52121112534400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 1650797014 + ... + 1650828586.

Almost surely, 2^{52121112534400} is an apocalyptic number.

52121112534400 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 52121112534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79250601074400).

52121112534400 is an abundant number, since it is smaller than the sum of its proper divisors (106380089614400).

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

52121112534400 is a wasteful number, since it uses less digits than its factorization.

52121112534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37286 (or 37269 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 52121112534400 its reverse (443521112125), we get a palindrome (52564633646525).

The spelling of 52121112534400 in words is "fifty-two trillion, one hundred twenty-one billion, one hundred twelve million, five hundred thirty-four thousand, four hundred".