511178532480 has 2560 divisors, whose sum is σ = 2497815429120. Its totient is φ = 96745881600.

The previous prime is 511178532467. The next prime is 511178532503. The reversal of 511178532480 is 84235871115.

511178532480 is a `hidden beast` number, since 5 + 1 + 1 + 1 + 78 + 532 + 48 + 0 = 666.

It is a super-2 number, since 2×511178532480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 16489630065 + ... + 16489630095.

It is an arithmetic number, because the mean of its divisors is an integer number (975709152).

Almost surely, 2^511178532480 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 511178532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248907714560).

511178532480 is an abundant number, since it is smaller than the sum of its proper divisors (1986636896640).

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

511178532480 is an equidigital number, since it uses as much as digits as its factorization.

511178532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 511178532480 in words is "five hundred eleven billion, one hundred seventy-eight million, five hundred thirty-two thousand, four hundred eighty".