90505121895 has 12 divisors (see below), whose sum is σ = 156875544696. Its totient is φ = 48269398320.

The previous prime is 90505121887. The next prime is 90505121929. The reversal of 90505121895 is 59812150509.

90505121895 is a `hidden beast` number, since 9 + 0 + 50 + 512 + 1 + 89 + 5 = 666.

It is not a de Polignac number, because 90505121895 - 2³ = 90505121887 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2011224931 = 90505121895 / (9 + 0 + 5 + 0 + 5 + 1 + 2 + 1 + 8 + 9 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 90505121895.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1005612421 + ... + 1005612510.

It is an arithmetic number, because the mean of its divisors is an integer number (13072962058).

Almost surely, 2^90505121895 is an apocalyptic number.

90505121895 is a deficient number, since it is larger than the sum of its proper divisors (66370422801).

90505121895 is a wasteful number, since it uses less digits than its factorization.

90505121895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011224942 (or 2011224939 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The spelling of 90505121895 in words is "ninety billion, five hundred five million, one hundred twenty-one thousand, eight hundred ninety-five".