511011899916 has 576 divisors, whose sum is σ = 1547059046400. Its totient is φ = 130891622400.

The previous prime is 511011899887. The next prime is 511011899917. The reversal of 511011899916 is 619998110115.

It is a super-2 number, since 2×511011899916² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511011899917) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3730013800 + ... + 3730013936.

It is an arithmetic number, because the mean of its divisors is an integer number (2685866400).

Almost surely, 2^511011899916 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 511011899916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773529523200).

511011899916 is an abundant number, since it is smaller than the sum of its proper divisors (1036047146484).

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

511011899916 is a wasteful number, since it uses less digits than its factorization.

511011899916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 51.

It can be divided in two parts, 51101189 and 9916, that added together give a triangular number (51111105 = T₁₀₁₁₀).

The spelling of 511011899916 in words is "five hundred eleven billion, eleven million, eight hundred ninety-nine thousand, nine hundred sixteen".