507781096406880 has 384 divisors, whose sum is σ = 1721279934904320. Its totient is φ = 125423534407680.

The previous prime is 507781096406867. The next prime is 507781096406917. The reversal of 507781096406880 is 88604690187705.

It is a super-2 number, since 2×507781096406880² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 418175020 + ... + 419387540.

It is an arithmetic number, because the mean of its divisors is an integer number (4482499830480).

Almost surely, 2^{507781096406880} 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 507781096406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860639967452160).

507781096406880 is an abundant number, since it is smaller than the sum of its proper divisors (1213498838497440).

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

507781096406880 is a wasteful number, since it uses less digits than its factorization.

507781096406880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213582 (or 1213574 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 69.

The spelling of 507781096406880 in words is "five hundred seven trillion, seven hundred eighty-one billion, ninety-six million, four hundred six thousand, eight hundred eighty".