1158151680 has 480 divisors, whose sum is σ = 4718697984. Its totient is φ = 257015808.

The previous prime is 1158151679. The next prime is 1158151691. The reversal of 1158151680 is 861518511.

1158151680 is a `hidden beast` number, since 11 + 58 + 1 + 516 + 80 = 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6934957 + ... + 6935123.

Almost surely, 2^1158151680 is an apocalyptic number.

1158151680 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 1158151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359348992).

1158151680 is an abundant number, since it is smaller than the sum of its proper divisors (3560546304).

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

1158151680 is a wasteful number, since it uses less digits than its factorization.

1158151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 36.

The square root of 1158151680 is about 34031.6276425328. The cubic root of 1158151680 is about 1050.1592139520.

The spelling of 1158151680 in words is "one billion, one hundred fifty-eight million, one hundred fifty-one thousand, six hundred eighty".