1165358880 has 384 divisors, whose sum is σ = 4724697600. Its totient is φ = 262766592.

The previous prime is 1165358879. The next prime is 1165358893. The reversal of 1165358880 is 888535611.

1165358880 is a `hidden beast` number, since 1 + 1 + 65 + 3 + 588 + 8 + 0 = 666.

It is a super-2 number, since 2×1165358880² = 2716122638389708800, which contains 22 as substring.

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, 2691144 + ... + 2691576.

It is an arithmetic number, because the mean of its divisors is an integer number (12303900).

Almost surely, 2^1165358880 is an apocalyptic number.

1165358880 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 1165358880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362348800).

1165358880 is an abundant number, since it is smaller than the sum of its proper divisors (3559338720).

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

1165358880 is a wasteful number, since it uses less digits than its factorization.

1165358880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 1165358880 is about 34137.3531487138. The cubic root of 1165358880 is about 1052.3330977364. Note that the first 3 decimals are identical.

The spelling of 1165358880 in words is "one billion, one hundred sixty-five million, three hundred fifty-eight thousand, eight hundred eighty".