1135760000 has 80 divisors (see below), whose sum is σ = 2827602690. Its totient is φ = 454272000.

The previous prime is 1135759981. The next prime is 1135760023. The reversal of 1135760000 is 675311.

It can be written as a sum of positive squares in 5 ways, for example, as 215972416 + 919787584 = 14696^2 + 30328^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 72902 + ... + 87098.

Almost surely, 2^1135760000 is an apocalyptic number.

1135760000 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 1135760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413801345).

1135760000 is an abundant number, since it is smaller than the sum of its proper divisors (1691842690).

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

1135760000 is an frugal number, since it uses more digits than its factorization.

1135760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14231 (or 14204 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 1135760000 is about 33701.0385596646. The cubic root of 1135760000 is about 1043.3472037497.

The spelling of 1135760000 in words is "one billion, one hundred thirty-five million, seven hundred sixty thousand".