505012515352040 has 128 divisors (see below), whose sum is σ = 1267162552368000. Its totient is φ = 180013163470848.

The previous prime is 505012515351959. The next prime is 505012515352063. The reversal of 505012515352040 is 40253515210505.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 505012515351985 and 505012515352003.

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, 11499971 + ... + 33797549.

It is an arithmetic number, because the mean of its divisors is an integer number (9899707440375).

Almost surely, 2^{505012515352040} 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 505012515352040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633581276184000).

505012515352040 is an abundant number, since it is smaller than the sum of its proper divisors (762150037015960).

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

505012515352040 is a wasteful number, since it uses less digits than its factorization.

505012515352040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22299379 (or 22299375 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 38.

The spelling of 505012515352040 in words is "five hundred five trillion, twelve billion, five hundred fifteen million, three hundred fifty-two thousand, forty".