11677670505 has 16 divisors (see below), whose sum is σ = 20760303360. Its totient is φ = 6228090864.

The previous prime is 11677670491. The next prime is 11677670531. The reversal of 11677670505 is 50507677611.

11677670505 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 76 + 70 + 505 = 666.

It is not a de Polignac number, because 11677670505 - 2⁶ = 11677670441 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43250497 + ... + 43250766.

It is an arithmetic number, because the mean of its divisors is an integer number (1297518960).

Almost surely, 2^11677670505 is an apocalyptic number.

11677670505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11677670505 is a deficient number, since it is larger than the sum of its proper divisors (9082632855).

11677670505 is an equidigital number, since it uses as much as digits as its factorization.

11677670505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86501277 (or 86501271 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The spelling of 11677670505 in words is "eleven billion, six hundred seventy-seven million, six hundred seventy thousand, five hundred five".