52001442400 has 72 divisors (see below), whose sum is σ = 127066804704. Its totient is φ = 20781196800.

The previous prime is 52001442391. The next prime is 52001442401. The reversal of 52001442400 is 424410025.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52001442401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 844665 + ... + 904135.

It is an arithmetic number, because the mean of its divisors is an integer number (1764816732).

Almost surely, 2^52001442400 is an apocalyptic number.

52001442400 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 52001442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63533402352).

52001442400 is an abundant number, since it is smaller than the sum of its proper divisors (75065362304).

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

52001442400 is a wasteful number, since it uses less digits than its factorization.

52001442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60584 (or 60571 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 52001442400 its reverse (424410025), we get a palindrome (52425852425).

The spelling of 52001442400 in words is "fifty-two billion, one million, four hundred forty-two thousand, four hundred".