507887807480832 has 352 divisors, whose sum is σ = 1406786894331904. Its totient is φ = 162731947622400.

The previous prime is 507887807480821. The next prime is 507887807480899. The reversal of 507887807480832 is 238084708788705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61465299933 + ... + 61465308195.

Almost surely, 2^{507887807480832} 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 507887807480832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703393447165952).

507887807480832 is an abundant number, since it is smaller than the sum of its proper divisors (898899086851072).

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

507887807480832 is a wasteful number, since it uses less digits than its factorization.

507887807480832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12585 (or 12567 counting only the distinct ones).

The product of its (nonzero) digits is 1348730880, while the sum is 75.

The spelling of 507887807480832 in words is "five hundred seven trillion, eight hundred eighty-seven billion, eight hundred seven million, four hundred eighty thousand, eight hundred thirty-two".