1131680705805 has 64 divisors (see below), whose sum is σ = 2166913808640. Its totient is φ = 557063827200.

The previous prime is 1131680705797. The next prime is 1131680705863. The reversal of 1131680705805 is 5085070861311.

1131680705805 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 68 + 0 + 7 + 0 + 580 + 5 = 666.

It is not a de Polignac number, because 1131680705805 - 2³ = 1131680705797 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15303570 + ... + 15377340.

It is an arithmetic number, because the mean of its divisors is an integer number (33858028260).

Almost surely, 2^{1131680705805} is an apocalyptic number.

1131680705805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1131680705805 is a deficient number, since it is larger than the sum of its proper divisors (1035233102835).

1131680705805 is a wasteful number, since it uses less digits than its factorization.

1131680705805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82539 (or 82533 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 1131680705805 in words is "one trillion, one hundred thirty-one billion, six hundred eighty million, seven hundred five thousand, eight hundred five".