52022476800 has 900 divisors, whose sum is σ = 224192675025. Its totient is φ = 11890851840.

The previous prime is 52022476799. The next prime is 52022476801. The reversal of 52022476800 is 867422025.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (8!)² ⋅ (2!)⁵.

It is an interprime number because it is at equal distance from previous prime (52022476799) and next prime (52022476801).

It can be written as a sum of positive squares in 2 ways, for example, as 50982027264 + 1040449536 = 225792^2 + 32256^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=161280.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52022476801) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7431782397 + ... + 7431782403.

Almost surely, 2^52022476800 is an apocalyptic number.

52022476800 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 52022476800

52022476800 is an abundant number, since it is smaller than the sum of its proper divisors (172170198225).

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

52022476800 is an frugal number, since it uses more digits than its factorization.

52022476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 52022476800 its reverse (867422025), we get a palindrome (52889898825).

The spelling of 52022476800 in words is "fifty-two billion, twenty-two million, four hundred seventy-six thousand, eight hundred".