53202436000000 has 567 divisors, whose sum is σ = 154714158324831. Its totient is φ = 18205824000000.

The previous prime is 53202435999983. The next prime is 53202436000001. The reversal of 53202436000000 is 63420235.

It is a happy number.

The square root of 53202436000000 is 7294000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 33922889840896 + 19279546159104 = 5824336^2 + 4390848^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (53202436000001) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 102115999740 + ... + 102116000260.

Almost surely, 2^{53202436000000} is an apocalyptic number.

53202436000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53202436000000 is the 7294000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53202436000000

53202436000000 is an abundant number, since it is smaller than the sum of its proper divisors (101511722324831).

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

53202436000000 is an frugal number, since it uses more digits than its factorization.

53202436000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

53202436000000 divided by its sum of digits (25) gives a square (2128097440000 = 1458800²).

Adding to 53202436000000 its reverse (63420235), we get a palindrome (53202499420235).

The spelling of 53202436000000 in words is "fifty-three trillion, two hundred two billion, four hundred thirty-six million", and thus it is an aban number.