511472828160 has 720 divisors, whose sum is σ = 2131216629696. Its totient is φ = 114693636096.

The previous prime is 511472828149. The next prime is 511472828161. The reversal of 511472828160 is 61828274115.

511472828160 is a `hidden beast` number, since 5 + 11 + 472 + 8 + 2 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511472828161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38458632 + ... + 38471928.

Almost surely, 2^511472828160 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 511472828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065608314848).

511472828160 is an abundant number, since it is smaller than the sum of its proper divisors (1619743801536).

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

511472828160 is a wasteful number, since it uses less digits than its factorization.

511472828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13390 (or 13367 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 511472828160 in words is "five hundred eleven billion, four hundred seventy-two million, eight hundred twenty-eight thousand, one hundred sixty".