514168713070320 has 2560 divisors, whose sum is σ = 2142306403614720. Its totient is φ = 98868776878080.

The previous prime is 514168713070241. The next prime is 514168713070321. The reversal of 514168713070320 is 23070317861415.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 514168713070320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514168713070321) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 875926257067 + ... + 875926257653.

It is an arithmetic number, because the mean of its divisors is an integer number (836838438912).

Almost surely, 2^{514168713070320} 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 514168713070320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071153201807360).

514168713070320 is an abundant number, since it is smaller than the sum of its proper divisors (1628137690544400).

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

514168713070320 is a wasteful number, since it uses less digits than its factorization.

514168713070320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 514168713070320 in words is "five hundred fourteen trillion, one hundred sixty-eight billion, seven hundred thirteen million, seventy thousand, three hundred twenty".