1135766880 has 96 divisors (see below), whose sum is σ = 3975199200. Its totient is φ = 302870016.

The previous prime is 1135766873. The next prime is 1135766897. The reversal of 1135766880 is 886675311.

1135766880 is a `hidden beast` number, since 1 + 13 + 576 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 127135 + ... + 135774.

It is an arithmetic number, because the mean of its divisors is an integer number (41408325).

Almost surely, 2^1135766880 is an apocalyptic number.

1135766880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1135766880 is an abundant number, since it is smaller than the sum of its proper divisors (2839432320).

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

1135766880 is a wasteful number, since it uses less digits than its factorization.

1135766880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262933 (or 262919 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1135766880 is about 33701.1406335157. The cubic root of 1135766880 is about 1043.3493104783.

The spelling of 1135766880 in words is "one billion, one hundred thirty-five million, seven hundred sixty-six thousand, eight hundred eighty".