507128687832 has 128 divisors (see below), whose sum is σ = 1426979957760. Its totient is φ = 149017397760.

The previous prime is 507128687797. The next prime is 507128687833. The reversal of 507128687832 is 238786821705.

507128687832 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×507128687832² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507128687833) 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, 4472058 + ... + 4584054.

It is an arithmetic number, because the mean of its divisors is an integer number (11148280920).

Almost surely, 2^507128687832 is an apocalyptic number.

507128687832 is a gapful number since it is divisible by the number (52) 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 507128687832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713489978880).

507128687832 is an abundant number, since it is smaller than the sum of its proper divisors (919851269928).

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

507128687832 is a wasteful number, since it uses less digits than its factorization.

507128687832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112673 (or 112669 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 507128687832 in words is "five hundred seven billion, one hundred twenty-eight million, six hundred eighty-seven thousand, eight hundred thirty-two".