52000202400 has 144 divisors (see below), whose sum is σ = 170843377824. Its totient is φ = 13737057280.

The previous prime is 52000202363. The next prime is 52000202413. The reversal of 52000202400 is 420200025.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 52000202400.

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, 155554 + ... + 358046.

It is an arithmetic number, because the mean of its divisors is an integer number (1186412346).

Almost surely, 2^52000202400 is an apocalyptic number.

52000202400 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 52000202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85421688912).

52000202400 is an abundant number, since it is smaller than the sum of its proper divisors (118843175424).

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

52000202400 is a wasteful number, since it uses less digits than its factorization.

52000202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202623 (or 202610 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

Adding to 52000202400 its reverse (420200025), we get a palindrome (52420402425).

The spelling of 52000202400 in words is "fifty-two billion, two hundred two thousand, four hundred".