1690090766505 has 96 divisors (see below), whose sum is σ = 3050647262208. Its totient is φ = 897632280000.

The previous prime is 1690090766461. The next prime is 1690090766527. The reversal of 1690090766505 is 5056670900961.

1690090766505 is a `hidden beast` number, since 1 + 69 + 0 + 0 + 9 + 0 + 76 + 6 + 505 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-1690090766505 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 750816630 + ... + 750818880.

It is an arithmetic number, because the mean of its divisors is an integer number (31777575648).

Almost surely, 2^{1690090766505} is an apocalyptic number.

1690090766505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1690090766505 is a deficient number, since it is larger than the sum of its proper divisors (1360556495703).

1690090766505 is a wasteful number, since it uses less digits than its factorization.

1690090766505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 1690090766505 in words is "one trillion, six hundred ninety billion, ninety million, seven hundred sixty-six thousand, five hundred five".