507226821120 has 800 divisors, whose sum is σ = 1974507194880. Its totient is φ = 123978055680.

The previous prime is 507226821109. The next prime is 507226821149. The reversal of 507226821120 is 21128622705.

It is a happy number.

507226821120 is a `hidden beast` number, since 507 + 2 + 2 + 6 + 8 + 21 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 122132964 + ... + 122137116.

Almost surely, 2^507226821120 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 507226821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987253597440).

507226821120 is an abundant number, since it is smaller than the sum of its proper divisors (1467280373760).

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

507226821120 is a wasteful number, since it uses less digits than its factorization.

507226821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 507226821120 in words is "five hundred seven billion, two hundred twenty-six million, eight hundred twenty-one thousand, one hundred twenty".