538555511200 has 216 divisors, whose sum is σ = 1533260201004. Its totient is φ = 184181760000.

The previous prime is 538555511189. The next prime is 538555511227. The reversal of 538555511200 is 2115555835.

It can be written as a sum of positive squares in 6 ways, for example, as 511917354256 + 26638156944 = 715484^2 + 163212^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15702070 + ... + 15736330.

Almost surely, 2^538555511200 is an apocalyptic number.

538555511200 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 538555511200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766630100502).

538555511200 is an abundant number, since it is smaller than the sum of its proper divisors (994704689804).

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

538555511200 is a wasteful number, since it uses less digits than its factorization.

538555511200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34696 (or 34676 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 40.

The spelling of 538555511200 in words is "five hundred thirty-eight billion, five hundred fifty-five million, five hundred eleven thousand, two hundred".