514542019680 has 768 divisors, whose sum is σ = 2030461655040. Its totient is φ = 120748548096.

The previous prime is 514542019669. The next prime is 514542019699. The reversal of 514542019680 is 86910245415.

514542019680 is a `hidden beast` number, since 5 + 1 + 454 + 2 + 0 + 196 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 603214134 + ... + 603214986.

It is an arithmetic number, because the mean of its divisors is an integer number (2643830280).

Almost surely, 2^514542019680 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 514542019680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015230827520).

514542019680 is an abundant number, since it is smaller than the sum of its proper divisors (1515919635360).

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

514542019680 is a wasteful number, since it uses less digits than its factorization.

514542019680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 514542019680 in words is "five hundred fourteen billion, five hundred forty-two million, nineteen thousand, six hundred eighty".