511260817226880 has 768 divisors, whose sum is σ = 1905389665320960. Its totient is φ = 116264034754560.

The previous prime is 511260817226867. The next prime is 511260817226909. The reversal of 511260817226880 is 88622718062115.

It is a super-4 number, since 4×511260817226880⁴ (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 511260817226880.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18535345569 + ... + 18535373151.

It is an arithmetic number, because the mean of its divisors is an integer number (2480976126720).

Almost surely, 2^{511260817226880} 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 511260817226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952694832660480).

511260817226880 is an abundant number, since it is smaller than the sum of its proper divisors (1394128848094080).

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

511260817226880 is a wasteful number, since it uses less digits than its factorization.

511260817226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28617 (or 28598 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 57.

The spelling of 511260817226880 in words is "five hundred eleven trillion, two hundred sixty billion, eight hundred seventeen million, two hundred twenty-six thousand, eight hundred eighty".