53353448900 has 72 divisors (see below), whose sum is σ = 119825221320. Its totient is φ = 20595850240.

The previous prime is 53353448881. The next prime is 53353448903. The reversal of 53353448900 is 984435335.

It can be written as a sum of positive squares in 12 ways, for example, as 42772857856 + 10580591044 = 206816^2 + 102862^2 .

It is a super-2 number, since 2×53353448900² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53353448903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11809442 + ... + 11813958.

It is an arithmetic number, because the mean of its divisors is an integer number (1664239185).

Almost surely, 2^53353448900 is an apocalyptic number.

53353448900 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 53353448900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59912610660).

53353448900 is an abundant number, since it is smaller than the sum of its proper divisors (66471772420).

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

53353448900 is a wasteful number, since it uses less digits than its factorization.

53353448900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8633 (or 8626 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 53353448900 in words is "fifty-three billion, three hundred fifty-three million, four hundred forty-eight thousand, nine hundred".