52014311400 has 192 divisors, whose sum is σ = 172804118400. Its totient is φ = 12908712960.

The previous prime is 52014311387. The next prime is 52014311411. The reversal of 52014311400 is 411341025.

52014311400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 459666 + ... + 561534.

It is an arithmetic number, because the mean of its divisors is an integer number (900021450).

Almost surely, 2^52014311400 is an apocalyptic number.

52014311400 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 52014311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86402059200).

52014311400 is an abundant number, since it is smaller than the sum of its proper divisors (120789807000).

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

52014311400 is a wasteful number, since it uses less digits than its factorization.

52014311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101948 (or 101939 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 52014311400 its reverse (411341025), we get a palindrome (52425652425).

The spelling of 52014311400 in words is "fifty-two billion, fourteen million, three hundred eleven thousand, four hundred".