512173247040 has 896 divisors, whose sum is σ = 2231547601920. Its totient is φ = 107686526976.

The previous prime is 512173247039. The next prime is 512173247077. The reversal of 512173247040 is 40742371215.

512173247040 is a `hidden beast` number, since 5 + 12 + 173 + 2 + 470 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 512173246986 and 512173247004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 264961914 + ... + 264963846.

It is an arithmetic number, because the mean of its divisors is an integer number (2490566520).

Almost surely, 2^512173247040 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 512173247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115773800960).

512173247040 is an abundant number, since it is smaller than the sum of its proper divisors (1719374354880).

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

512173247040 is a wasteful number, since it uses less digits than its factorization.

512173247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 512173247040 in words is "five hundred twelve billion, one hundred seventy-three million, two hundred forty-seven thousand, forty".