1135178880 has 256 divisors, whose sum is σ = 4018636800. Its totient is φ = 270233600.

The previous prime is 1135178879. The next prime is 1135178881. The reversal of 1135178880 is 888715311.

It is an interprime number because it is at equal distance from previous prime (1135178879) and next prime (1135178881).

It is not an unprimeable number, because it can be changed into a prime (1135178881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245625 + ... + 1246535.

It is an arithmetic number, because the mean of its divisors is an integer number (15697800).

Almost surely, 2^1135178880 is an apocalyptic number.

1135178880 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 1135178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009318400).

1135178880 is an abundant number, since it is smaller than the sum of its proper divisors (2883457920).

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

1135178880 is a wasteful number, since it uses less digits than its factorization.

1135178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 42.

The square root of 1135178880 is about 33692.4157637887. The cubic root of 1135178880 is about 1043.1692279555.

The spelling of 1135178880 in words is "one billion, one hundred thirty-five million, one hundred seventy-eight thousand, eight hundred eighty".