507127082320 has 80 divisors (see below), whose sum is σ = 1211236940160. Its totient is φ = 197319532032.

The previous prime is 507127082299. The next prime is 507127082351. The reversal of 507127082320 is 23280721705.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 507127082320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13369141 + ... + 13407019.

It is an arithmetic number, because the mean of its divisors is an integer number (15140461752).

Almost surely, 2^507127082320 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 507127082320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605618470080).

507127082320 is an abundant number, since it is smaller than the sum of its proper divisors (704109857840).

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

507127082320 is a wasteful number, since it uses less digits than its factorization.

507127082320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42452 (or 42446 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 507127082320 in words is "five hundred seven billion, one hundred twenty-seven million, eighty-two thousand, three hundred twenty".