52405200000 has 288 divisors, whose sum is σ = 188502661620. Its totient is φ = 13973760000.

The previous prime is 52405199989. The next prime is 52405200007. The reversal of 52405200000 is 250425.

It can be written as a sum of positive squares in 6 ways, for example, as 13891922496 + 38513277504 = 117864^2 + 196248^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (52405200007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3592722 + ... + 3607278.

Almost surely, 2^52405200000 is an apocalyptic number.

52405200000 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 52405200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94251330810).

52405200000 is an abundant number, since it is smaller than the sum of its proper divisors (136097461620).

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

52405200000 is an equidigital number, since it uses as much as digits as its factorization.

52405200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14602 (or 14567 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

Adding to 52405200000 its reverse (250425), we get a palindrome (52405450425).

It can be divided in two parts, 52405 and 200000, that added together give a triangular number (252405 = T₇₁₀).

The spelling of 52405200000 in words is "fifty-two billion, four hundred five million, two hundred thousand".