52533098400 has 144 divisors (see below), whose sum is σ = 171891998208. Its totient is φ = 13935360000.

The previous prime is 52533098393. The next prime is 52533098447. The reversal of 52533098400 is 489033525.

It is a Cunningham number, because it is equal to 229201²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401100 + ... + 515700.

It is an arithmetic number, because the mean of its divisors is an integer number (1193694432).

Almost surely, 2^52533098400 is an apocalyptic number.

52533098400 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 52533098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85945999104).

52533098400 is an abundant number, since it is smaller than the sum of its proper divisors (119358899808).

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

52533098400 is a wasteful number, since it uses less digits than its factorization.

52533098400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114815 (or 114802 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 52533098400 in words is "fifty-two billion, five hundred thirty-three million, ninety-eight thousand, four hundred".