511264164120 has 128 divisors (see below), whose sum is σ = 1575085824000. Its totient is φ = 132715215360.

The previous prime is 511264164043. The next prime is 511264164233. The reversal of 511264164120 is 21461462115.

It is a super-2 number, since 2×511264164120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293286 + ... + 1052874.

It is an arithmetic number, because the mean of its divisors is an integer number (12305358000).

Almost surely, 2^511264164120 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 511264164120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787542912000).

511264164120 is an abundant number, since it is smaller than the sum of its proper divisors (1063821659880).

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

511264164120 is a wasteful number, since it uses less digits than its factorization.

511264164120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759753 (or 759749 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 511264164120 in words is "five hundred eleven billion, two hundred sixty-four million, one hundred sixty-four thousand, one hundred twenty".