507145328700 has 144 divisors (see below), whose sum is σ = 1531556307456. Its totient is φ = 129323462400.

The previous prime is 507145328699. The next prime is 507145328713. The reversal of 507145328700 is 7823541705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33202065 + ... + 33217335.

Almost surely, 2^507145328700 is an apocalyptic number.

507145328700 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 507145328700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765778153728).

507145328700 is an abundant number, since it is smaller than the sum of its proper divisors (1024410978756).

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

507145328700 is a wasteful number, since it uses less digits than its factorization.

507145328700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20124 (or 20117 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 507145328700 in words is "five hundred seven billion, one hundred forty-five million, three hundred twenty-eight thousand, seven hundred".