53005541200 has 60 divisors (see below), whose sum is σ = 127491207228. Its totient is φ = 21178009600.

The previous prime is 53005541159. The next prime is 53005541261. The reversal of 53005541200 is 214550035.

It can be written as a sum of positive squares in 6 ways, for example, as 522396736 + 52483144464 = 22856^2 + 229092^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277194 + ... + 427606.

Almost surely, 2^53005541200 is an apocalyptic number.

53005541200 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 53005541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63745603614).

53005541200 is an abundant number, since it is smaller than the sum of its proper divisors (74485666028).

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

53005541200 is a wasteful number, since it uses less digits than its factorization.

53005541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151312 (or 151301 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 53005541200 in words is "fifty-three billion, five million, five hundred forty-one thousand, two hundred".