511061340420 has 144 divisors (see below), whose sum is σ = 1594546873920. Its totient is φ = 132397348608.

The previous prime is 511061340409. The next prime is 511061340437. The reversal of 511061340420 is 24043160115.

It is a happy number.

511061340420 is a `hidden beast` number, since 5 + 1 + 1 + 0 + 613 + 4 + 0 + 42 + 0 = 666.

It is a super-2 number, since 2×511061340420² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4330719 + ... + 4447161.

It is an arithmetic number, because the mean of its divisors is an integer number (11073242180).

Almost surely, 2^511061340420 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 511061340420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797273436960).

511061340420 is an abundant number, since it is smaller than the sum of its proper divisors (1083485533500).

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

511061340420 is a wasteful number, since it uses less digits than its factorization.

511061340420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117154 (or 117149 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 511061340420 in words is "five hundred eleven billion, sixty-one million, three hundred forty thousand, four hundred twenty".