514116802682880 has 448 divisors, whose sum is σ = 1655598858455808. Its totient is φ = 136221315563520.

The previous prime is 514116802682867. The next prime is 514116802682881. The reversal of 514116802682880 is 88286208611415.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (514116802682881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83992286220 + ... + 83992292340.

It is an arithmetic number, because the mean of its divisors is an integer number (3695533166196).

Almost surely, 2^{514116802682880} 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 514116802682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827799429227904).

514116802682880 is an abundant number, since it is smaller than the sum of its proper divisors (1141482055772928).

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

514116802682880 is a wasteful number, since it uses less digits than its factorization.

514116802682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415 (or 10391 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 60.

The spelling of 514116802682880 in words is "five hundred fourteen trillion, one hundred sixteen billion, eight hundred two million, six hundred eighty-two thousand, eight hundred eighty".