505035336959972 has 120 divisors (see below), whose sum is σ = 1133988973789056. Its totient is φ = 195543256555584.

The previous prime is 505035336959971. The next prime is 505035336960041. The reversal of 505035336959972 is 279959633530505.

It is a junction number, because it is equal to n+sod(n) for n = 505035336959896 and 505035336959905.

It is not an unprimeable number, because it can be changed into a prime (505035336959971) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37164638 + ... + 48900725.

Almost surely, 2^{505035336959972} is an apocalyptic number.

505035336959972 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

505035336959972 is an abundant number, since it is smaller than the sum of its proper divisors (628953636829084).

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

505035336959972 is a wasteful number, since it uses less digits than its factorization.

505035336959972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86065455 (or 86065432 counting only the distinct ones).

The product of its (nonzero) digits is 1033357500, while the sum is 71.

The spelling of 505035336959972 in words is "five hundred five trillion, thirty-five billion, three hundred thirty-six million, nine hundred fifty-nine thousand, nine hundred seventy-two".