512980034112 has 1008 divisors, whose sum is σ = 1946524245120. Its totient is φ = 127767822336.

The previous prime is 512980034101. The next prime is 512980034167. The reversal of 512980034112 is 211430089215.

512980034112 is a `hidden beast` number, since 512 + 98 + 0 + 0 + 3 + 41 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 751068523 + ... + 751069205.

It is an arithmetic number, because the mean of its divisors is an integer number (1931075640).

Almost surely, 2^512980034112 is an apocalyptic number.

512980034112 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 512980034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973262122560).

512980034112 is an abundant number, since it is smaller than the sum of its proper divisors (1433544211008).

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

512980034112 is a wasteful number, since it uses less digits than its factorization.

512980034112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 512980034112 in words is "five hundred twelve billion, nine hundred eighty million, thirty-four thousand, one hundred twelve".