472772135868528 has 320 divisors, whose sum is σ = 1303405116733440. Its totient is φ = 147462642671616.

The previous prime is 472772135868523. The next prime is 472772135868533. The reversal of 472772135868528 is 825868531277274.

It is an interprime number because it is at equal distance from previous prime (472772135868523) and next prime (472772135868533).

It is a self number, because there is not a number n which added to its sum of digits gives 472772135868528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472772135868523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1638995451 + ... + 1639283877.

It is an arithmetic number, because the mean of its divisors is an integer number (4073140989792).

Almost surely, 2^{472772135868528} is an apocalyptic number.

472772135868528 is a gapful number since it is divisible by the number (48) 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 472772135868528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651702558366720).

472772135868528 is an abundant number, since it is smaller than the sum of its proper divisors (830632980864912).

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

472772135868528 is a wasteful number, since it uses less digits than its factorization.

472772135868528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288864 (or 288858 counting only the distinct ones).

The product of its digits is 2528870400, while the sum is 75.

The spelling of 472772135868528 in words is "four hundred seventy-two trillion, seven hundred seventy-two billion, one hundred thirty-five million, eight hundred sixty-eight thousand, five hundred twenty-eight".