507075795487320 has 128 divisors (see below), whose sum is σ = 1587888353088000. Its totient is φ = 129298649508864.

The previous prime is 507075795487301. The next prime is 507075795487321. The reversal of 507075795487320 is 23784597570705.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507075795487321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21713182 + ... + 38543661.

It is an arithmetic number, because the mean of its divisors is an integer number (12405377758500).

Almost surely, 2^{507075795487320} is an apocalyptic number.

It is an amenable number.

507075795487320 is an abundant number, since it is smaller than the sum of its proper divisors (1080812557600680).

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

507075795487320 is a wasteful number, since it uses less digits than its factorization.

507075795487320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60259929 (or 60259925 counting only the distinct ones).

The product of its (nonzero) digits is 518616000, while the sum is 69.

The spelling of 507075795487320 in words is "five hundred seven trillion, seventy-five billion, seven hundred ninety-five million, four hundred eighty-seven thousand, three hundred twenty".