507826028880 has 320 divisors, whose sum is σ = 1850950103040. Its totient is φ = 127707148800.

The previous prime is 507826028867. The next prime is 507826028891. The reversal of 507826028880 is 88820628705.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3455295 + ... + 3599265.

It is an arithmetic number, because the mean of its divisors is an integer number (5784219072).

Almost surely, 2^507826028880 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 507826028880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925475051520).

507826028880 is an abundant number, since it is smaller than the sum of its proper divisors (1343124074160).

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

507826028880 is a wasteful number, since it uses less digits than its factorization.

507826028880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144087 (or 144075 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 507826028880 in words is "five hundred seven billion, eight hundred twenty-six million, twenty-eight thousand, eight hundred eighty".