504589364329680 has 480 divisors, whose sum is σ = 2086000741693440. Its totient is φ = 106723428940800.

The previous prime is 504589364329651. The next prime is 504589364329691. The reversal of 504589364329680 is 86923463985405.

504589364329680 is a `hidden beast` number, since 5 + 0 + 4 + 5 + 89 + 36 + 432 + 9 + 6 + 80 = 666.

It is a super-2 number, since 2×504589364329680² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 504589364329599 and 504589364329608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57153396 + ... + 65388755.

It is an arithmetic number, because the mean of its divisors is an integer number (4345834878528).

Almost surely, 2^{504589364329680} is an apocalyptic number.

It is an amenable number.

504589364329680 is an abundant number, since it is smaller than the sum of its proper divisors (1581411377363760).

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

504589364329680 is a wasteful number, since it uses less digits than its factorization.

504589364329680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122542239 (or 122542230 counting only the distinct ones).

The product of its (nonzero) digits is 1343692800, while the sum is 72.

The spelling of 504589364329680 in words is "five hundred four trillion, five hundred eighty-nine billion, three hundred sixty-four million, three hundred twenty-nine thousand, six hundred eighty".