90416042505 has 32 divisors (see below), whose sum is σ = 163374721920. Its totient is φ = 47431362240.

The previous prime is 90416042503. The next prime is 90416042513. The reversal of 90416042505 is 50524061409.

90416042505 is a `hidden beast` number, since 9 + 0 + 41 + 604 + 2 + 5 + 0 + 5 = 666.

It is not a de Polignac number, because 90416042505 - 2¹ = 90416042503 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 90416042505.

It is not an unprimeable number, because it can be changed into a prime (90416042503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5481507 + ... + 5497976.

It is an arithmetic number, because the mean of its divisors is an integer number (5105460060).

Almost surely, 2^90416042505 is an apocalyptic number.

It is an amenable number.

90416042505 is a deficient number, since it is larger than the sum of its proper divisors (72958679415).

90416042505 is a wasteful number, since it uses less digits than its factorization.

90416042505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10979558 (or 10979552 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 90416042505 in words is "ninety billion, four hundred sixteen million, forty-two thousand, five hundred five".