511996908665880 has 1152 divisors, whose sum is σ = 1950454526791680. Its totient is φ = 115481351946240.

The previous prime is 511996908665867. The next prime is 511996908665899. The reversal of 511996908665880 is 88566809699115.

511996908665880 is a `hidden beast` number, since 511 + 9 + 9 + 6 + 90 + 8 + 6 + 6 + 5 + 8 + 8 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 511996908665880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 120668607039 + ... + 120668611281.

It is an arithmetic number, because the mean of its divisors is an integer number (1693102887840).

Almost surely, 2^{511996908665880} 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 511996908665880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975227263395840).

511996908665880 is an abundant number, since it is smaller than the sum of its proper divisors (1438457618125800).

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

511996908665880 is a wasteful number, since it uses less digits than its factorization.

511996908665880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 2015539200, while the sum is 81.

The spelling of 511996908665880 in words is "five hundred eleven trillion, nine hundred ninety-six billion, nine hundred eight million, six hundred sixty-five thousand, eight hundred eighty".