53305040000000 has 352 divisors, whose sum is σ = 133746319717920. Its totient is φ = 21234176000000.

The previous prime is 53305039999999. The next prime is 53305040000021. The reversal of 53305040000000 is 4050335.

It can be written as a sum of positive squares in 16 ways, for example, as 8841535734784 + 44463504265216 = 2973472^2 + 6668096^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21519998762 + ... + 21520001238.

Almost surely, 2^{53305040000000} is an apocalyptic number.

53305040000000 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 53305040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66873159858960).

53305040000000 is an abundant number, since it is smaller than the sum of its proper divisors (80441279717920).

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

53305040000000 is an frugal number, since it uses more digits than its factorization.

53305040000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

Adding to 53305040000000 its reverse (4050335), we get a palindrome (53305044050335).

The spelling of 53305040000000 in words is "fifty-three trillion, three hundred five billion, forty million", and thus it is an aban number.