9935955000505 has 32 divisors (see below), whose sum is σ = 12133848883968. Its totient is φ = 7808629651200.

The previous prime is 9935955000493. The next prime is 9935955000541. The reversal of 9935955000505 is 5050005595399.

It is not a de Polignac number, because 9935955000505 - 2¹⁷ = 9935954869433 is a prime.

It is a Duffinian number.

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, 1042264719 + ... + 1042274251.

It is an arithmetic number, because the mean of its divisors is an integer number (379182777624).

Almost surely, 2^{9935955000505} is an apocalyptic number.

It is an amenable number.

9935955000505 is a deficient number, since it is larger than the sum of its proper divisors (2197893883463).

9935955000505 is a wasteful number, since it uses less digits than its factorization.

9935955000505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13537.

The product of its (nonzero) digits is 6834375, while the sum is 55.

The spelling of 9935955000505 in words is "nine trillion, nine hundred thirty-five billion, nine hundred fifty-five million, five hundred five", and thus it is an aban number.