501604477252640 has 192 divisors, whose sum is σ = 1227300974928000. Its totient is φ = 193502462361600.

The previous prime is 501604477252607. The next prime is 501604477252667. The reversal of 501604477252640 is 46252774406105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21058994651 + ... + 21059018469.

It is an arithmetic number, because the mean of its divisors is an integer number (6392192577750).

Almost surely, 2^{501604477252640} 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 501604477252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613650487464000).

501604477252640 is an abundant number, since it is smaller than the sum of its proper divisors (725696497675360).

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

501604477252640 is a wasteful number, since it uses less digits than its factorization.

501604477252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28843 (or 28835 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 53.

The spelling of 501604477252640 in words is "five hundred one trillion, six hundred four billion, four hundred seventy-seven million, two hundred fifty-two thousand, six hundred forty".