514533522140000 has 480 divisors, whose sum is σ = 1387267169904000. Its totient is φ = 186242918400000.

The previous prime is 514533522139961. The next prime is 514533522140023. The reversal of 514533522140000 is 41225335415.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49007854751 + ... + 49007865249.

It is an arithmetic number, because the mean of its divisors is an integer number (2890139937300).

Almost surely, 2^{514533522140000} is an apocalyptic number.

514533522140000 is a gapful number since it is divisible by the number (50) 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 514533522140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693633584952000).

514533522140000 is an abundant number, since it is smaller than the sum of its proper divisors (872733647764000).

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

514533522140000 is a wasteful number, since it uses less digits than its factorization.

514533522140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11544 (or 11521 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 514533522140000 its reverse (41225335415), we get a palindrome (514574747475415).

The spelling of 514533522140000 in words is "five hundred fourteen trillion, five hundred thirty-three billion, five hundred twenty-two million, one hundred forty thousand".