511016466272 has 192 divisors, whose sum is σ = 1156026816000. Its totient is φ = 220406427648.

The previous prime is 511016466251. The next prime is 511016466283. The reversal of 511016466272 is 272664610115.

It is a super-2 number, since 2×511016466272² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519853493 + ... + 519854475.

It is an arithmetic number, because the mean of its divisors is an integer number (6020973000).

Almost surely, 2^511016466272 is an apocalyptic number.

511016466272 is a gapful number since it is divisible by the number (52) 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 511016466272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578013408000).

511016466272 is an abundant number, since it is smaller than the sum of its proper divisors (645010349728).

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

511016466272 is a wasteful number, since it uses less digits than its factorization.

511016466272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 511016466272 in words is "five hundred eleven billion, sixteen million, four hundred sixty-six thousand, two hundred seventy-two".