511264672000 has 144 divisors (see below), whose sum is σ = 1292638943232. Its totient is φ = 201452697600.

The previous prime is 511264671989. The next prime is 511264672013. The reversal of 511264672000 is 276462115.

It is a super-2 number, since 2×511264672000² (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 15 ways as a sum of consecutive naturals, for example, 2024769 + ... + 2263231.

It is an arithmetic number, because the mean of its divisors is an integer number (8976659328).

Almost surely, 2^511264672000 is an apocalyptic number.

511264672000 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 511264672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646319471616).

511264672000 is an abundant number, since it is smaller than the sum of its proper divisors (781374271232).

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

511264672000 is an equidigital number, since it uses as much as digits as its factorization.

511264672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238561 (or 238537 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 511264672000 in words is "five hundred eleven billion, two hundred sixty-four million, six hundred seventy-two thousand".