90005055505505 has 32 divisors (see below), whose sum is σ = 126228725392128. Its totient is φ = 60333556320000.

The previous prime is 90005055505493. The next prime is 90005055505613. The reversal of 90005055505505 is 50550555050009.

It is not a de Polignac number, because 90005055505505 - 2⁴ = 90005055505489 is a prime.

It is a super-2 number, since 2×90005055505505² (a number of 29 digits) contains 22 as substring.

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, 128967746 + ... + 129663755.

It is an arithmetic number, because the mean of its divisors is an integer number (3944647668504).

Almost surely, 2^{90005055505505} is an apocalyptic number.

It is an amenable number.

90005055505505 is a deficient number, since it is larger than the sum of its proper divisors (36223669886623).

90005055505505 is a wasteful number, since it uses less digits than its factorization.

90005055505505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258631737.

The product of its (nonzero) digits is 703125, while the sum is 44.

The spelling of 90005055505505 in words is "ninety trillion, five billion, fifty-five million, five hundred five thousand, five hundred five".