1150853760 has 768 divisors, whose sum is σ = 5086748160. Its totient is φ = 233570304.

The previous prime is 1150853747. The next prime is 1150853771. The reversal of 1150853760 is 673580511.

1150853760 is a `hidden beast` number, since 11 + 50 + 8 + 537 + 60 = 666.

It is a super-2 number, since 2×1150853760² = 2648928753812275200, which contains 22 as substring.

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, 15765084 + ... + 15765156.

It is an arithmetic number, because the mean of its divisors is an integer number (6623370).

Almost surely, 2^1150853760 is an apocalyptic number.

1150853760 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 1150853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543374080).

1150853760 is an abundant number, since it is smaller than the sum of its proper divisors (3935894400).

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

1150853760 is a wasteful number, since it uses less digits than its factorization.

1150853760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1150853760 is about 33924.2355846082. The cubic root of 1150853760 is about 1047.9487572793.

The spelling of 1150853760 in words is "one billion, one hundred fifty million, eight hundred fifty-three thousand, seven hundred sixty".