511545020220 has 576 divisors, whose sum is σ = 1779890112000. Its totient is φ = 122551501824.

The previous prime is 511545020183. The next prime is 511545020227. The reversal of 511545020220 is 22020545115.

511545020220 is a `hidden beast` number, since 5 + 1 + 1 + 5 + 450 + 202 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511545020227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 406309951 + ... + 406311209.

It is an arithmetic number, because the mean of its divisors is an integer number (3090087000).

Almost surely, 2^511545020220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511545020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889945056000).

511545020220 is an abundant number, since it is smaller than the sum of its proper divisors (1268345091780).

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

511545020220 is a wasteful number, since it uses less digits than its factorization.

511545020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 511545020220 its reverse (22020545115), we get a palindrome (533565565335).

The spelling of 511545020220 in words is "five hundred eleven billion, five hundred forty-five million, twenty thousand, two hundred twenty".