511040232200000 has 168 divisors, whose sum is σ = 1267605469791864. Its totient is φ = 204405244160000.

The previous prime is 511040232199967. The next prime is 511040232200027. The reversal of 511040232200000 is 2232040115.

It can be written as a sum of positive squares in 12 ways, for example, as 507971541074176 + 3068691125824 = 22538224^2 + 1751768^2 .

It is a super-2 number, since 2×511040232200000² (a number of 30 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 4522543502 + ... + 4522656498.

It is an arithmetic number, because the mean of its divisors is an integer number (7545270653523).

Almost surely, 2^{511040232200000} is an apocalyptic number.

511040232200000 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 511040232200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633802734895932).

511040232200000 is an abundant number, since it is smaller than the sum of its proper divisors (756565237591864).

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

511040232200000 is an equidigital number, since it uses as much as digits as its factorization.

511040232200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135647 (or 135617 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 511040232200000 its reverse (2232040115), we get a palindrome (511042464240115).

The spelling of 511040232200000 in words is "five hundred eleven trillion, forty billion, two hundred thirty-two million, two hundred thousand".