1159925760 has 624 divisors, whose sum is σ = 4906736640. Its totient is φ = 247726080.

The previous prime is 1159925693. The next prime is 1159925761. The reversal of 1159925760 is 675299511.

1159925760 is a `hidden beast` number, since 1 + 1 + 599 + 2 + 57 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1159925761) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 37416945 + ... + 37416975.

It is an arithmetic number, because the mean of its divisors is an integer number (7863360).

Almost surely, 2^1159925760 is an apocalyptic number.

1159925760 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 1159925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453368320).

1159925760 is an abundant number, since it is smaller than the sum of its proper divisors (3746810880).

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

1159925760 is a wasteful number, since it uses less digits than its factorization.

1159925760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The square root of 1159925760 is about 34057.6828336867. The cubic root of 1159925760 is about 1050.6951587121.

The spelling of 1159925760 in words is "one billion, one hundred fifty-nine million, nine hundred twenty-five thousand, seven hundred sixty".