1152805680 has 480 divisors, whose sum is σ = 4484712960. Its totient is φ = 263208960.

The previous prime is 1152805679. The next prime is 1152805723. The reversal of 1152805680 is 865082511.

1152805680 is a `hidden beast` number, since 1 + 1 + 528 + 0 + 56 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 8414572 + ... + 8414708.

It is an arithmetic number, because the mean of its divisors is an integer number (9343152).

Almost surely, 2^1152805680 is an apocalyptic number.

1152805680 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 1152805680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242356480).

1152805680 is an abundant number, since it is smaller than the sum of its proper divisors (3331907280).

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

1152805680 is a wasteful number, since it uses less digits than its factorization.

1152805680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 1152805680 is about 33952.9922098186. The cubic root of 1152805680 is about 1048.5408848686.

The spelling of 1152805680 in words is "one billion, one hundred fifty-two million, eight hundred five thousand, six hundred eighty".