1150104960 has 512 divisors, whose sum is σ = 4465152000. Its totient is φ = 278691840.

The previous prime is 1150104959. The next prime is 1150104983. The reversal of 1150104960 is 694010511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10177864 + ... + 10177976.

It is an arithmetic number, because the mean of its divisors is an integer number (8721000).

Almost surely, 2^1150104960 is an apocalyptic number.

1150104960 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 1150104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232576000).

1150104960 is an abundant number, since it is smaller than the sum of its proper divisors (3315047040).

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

1150104960 is a wasteful number, since it uses less digits than its factorization.

1150104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1150104960 is about 33913.1974310887. The cubic root of 1150104960 is about 1047.7214262587.

The spelling of 1150104960 in words is "one billion, one hundred fifty million, one hundred four thousand, nine hundred sixty".