510012110839272 has 384 divisors, whose sum is σ = 1333980221777280. Its totient is φ = 162379800576000.

The previous prime is 510012110839211. The next prime is 510012110839289. The reversal of 510012110839272 is 272938011210015.

It is a super-2 number, since 2×510012110839272² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1271850650272 + ... + 1271850650672.

It is an arithmetic number, because the mean of its divisors is an integer number (3473906827545).

Almost surely, 2^{510012110839272} 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 510012110839272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666990110888640).

510012110839272 is an abundant number, since it is smaller than the sum of its proper divisors (823968110938008).

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

510012110839272 is a wasteful number, since it uses less digits than its factorization.

510012110839272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 510012110839272 in words is "five hundred ten trillion, twelve billion, one hundred ten million, eight hundred thirty-nine thousand, two hundred seventy-two".