511196480256 has 576 divisors, whose sum is σ = 1753771622400. Its totient is φ = 128324321280.

The previous prime is 511196480243. The next prime is 511196480269. The reversal of 511196480256 is 652084691115.

It is an interprime number because it is at equal distance from previous prime (511196480243) and next prime (511196480269).

It is a super-2 number, since 2×511196480256² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365400645 + ... + 365402043.

It is an arithmetic number, because the mean of its divisors is an integer number (3044742400).

Almost surely, 2^511196480256 is an apocalyptic number.

511196480256 is a gapful number since it is divisible by the number (56) 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 511196480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876885811200).

511196480256 is an abundant number, since it is smaller than the sum of its proper divisors (1242575142144).

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

511196480256 is a wasteful number, since it uses less digits than its factorization.

511196480256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 511196480256 in words is "five hundred eleven billion, one hundred ninety-six million, four hundred eighty thousand, two hundred fifty-six".