507528078000 has 80 divisors (see below), whose sum is σ = 1636270542816. Its totient is φ = 135340819200.

The previous prime is 507528077983. The next prime is 507528078067. The reversal of 507528078000 is 870825705.

It is a happy number.

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

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 15 ways as a sum of consecutive naturals, for example, 42288007 + ... + 42300006.

Almost surely, 2^507528078000 is an apocalyptic number.

507528078000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

507528078000 is an abundant number, since it is smaller than the sum of its proper divisors (1128742464816).

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

507528078000 is a wasteful number, since it uses less digits than its factorization.

507528078000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84588039 (or 84588023 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 42.

The spelling of 507528078000 in words is "five hundred seven billion, five hundred twenty-eight million, seventy-eight thousand".