1131655680 has 120 divisors (see below), whose sum is σ = 3919321692. Its totient is φ = 301768704.

The previous prime is 1131655673. The next prime is 1131655697. The reversal of 1131655680 is 865561311.

1131655680 is a `hidden beast` number, since 1 + 1 + 31 + 65 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1100116224 + 31539456 = 33168^2 + 5616^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1519 + ... + 47598.

Almost surely, 2^1131655680 is an apocalyptic number.

1131655680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959660846).

1131655680 is an abundant number, since it is smaller than the sum of its proper divisors (2787666012).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1131655680 is an equidigital number, since it uses as much as digits as its factorization.

1131655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49146 (or 49127 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1131655680 is about 33640.0903684874. The cubic root of 1131655680 is about 1042.0888981691.

The spelling of 1131655680 in words is "one billion, one hundred thirty-one million, six hundred fifty-five thousand, six hundred eighty".