507810878480000 has 640 divisors, whose sum is σ = 1322902911559680. Its totient is φ = 193881600000000.

The previous prime is 507810878479981. The next prime is 507810878480071. The reversal of 507810878480000 is 84878018705.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×507810878480000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67880076260 + ... + 67880083740.

It is an arithmetic number, because the mean of its divisors is an integer number (2067035799312).

Almost surely, 2^{507810878480000} is an apocalyptic number.

507810878480000 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 507810878480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661451455779840).

507810878480000 is an abundant number, since it is smaller than the sum of its proper divisors (815092033079680).

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

507810878480000 is a wasteful number, since it uses less digits than its factorization.

507810878480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7918 (or 7891 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 56.

The spelling of 507810878480000 in words is "five hundred seven trillion, eight hundred ten billion, eight hundred seventy-eight million, four hundred eighty thousand".