511950163968 has 416 divisors, whose sum is σ = 1627007817600. Its totient is φ = 158583619584.

The previous prime is 511950163889. The next prime is 511950163997. The reversal of 511950163968 is 869361059115.

511950163968 is a `hidden beast` number, since 5 + 1 + 19 + 501 + 63 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 111363846 + ... + 111368442.

Almost surely, 2^511950163968 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 511950163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813503908800).

511950163968 is an abundant number, since it is smaller than the sum of its proper divisors (1115057653632).

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

511950163968 is a wasteful number, since it uses less digits than its factorization.

511950163968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 4674 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 511950163968 in words is "five hundred eleven billion, nine hundred fifty million, one hundred sixty-three thousand, nine hundred sixty-eight".