1158727680 has 480 divisors, whose sum is σ = 4566481920. Its totient is φ = 278691840.

The previous prime is 1158727637. The next prime is 1158727693. The reversal of 1158727680 is 867278511.

It is a happy number.

1158727680 is a `hidden beast` number, since 1 + 1 + 587 + 2 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9123777 + ... + 9123903.

It is an arithmetic number, because the mean of its divisors is an integer number (9513504).

Almost surely, 2^1158727680 is an apocalyptic number.

1158727680 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 1158727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283240960).

1158727680 is an abundant number, since it is smaller than the sum of its proper divisors (3407754240).

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

1158727680 is a wasteful number, since it uses less digits than its factorization.

1158727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 1158727680 is about 34040.0893065809. The cubic root of 1158727680 is about 1050.3332819564. Note that the first 3 decimals are identical.

The spelling of 1158727680 in words is "one billion, one hundred fifty-eight million, seven hundred twenty-seven thousand, six hundred eighty".