500513415556440 has 1024 divisors, whose sum is σ = 1850569555968000. Its totient is φ = 106562359664640.

The previous prime is 500513415556381. The next prime is 500513415556477. The reversal of 500513415556440 is 44655514315005.

It is a self number, because there is not a number n which added to its sum of digits gives 500513415556440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 179459810566 + ... + 179459813354.

It is an arithmetic number, because the mean of its divisors is an integer number (1807196832000).

Almost surely, 2^{500513415556440} 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 500513415556440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925284777984000).

500513415556440 is an abundant number, since it is smaller than the sum of its proper divisors (1350056140411560).

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

500513415556440 is a wasteful number, since it uses less digits than its factorization.

500513415556440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 3600000, while the sum is 48.

The spelling of 500513415556440 in words is "five hundred trillion, five hundred thirteen billion, four hundred fifteen million, five hundred fifty-six thousand, four hundred forty".