1149986880 has 504 divisors, whose sum is σ = 4776871320. Its totient is φ = 252887040.

The previous prime is 1149986869. The next prime is 1149986897. The reversal of 1149986880 is 886899411.

1149986880 is a `hidden beast` number, since 11 + 499 + 8 + 68 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 194435136 + 955551744 = 13944^2 + 30912^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4092340 + ... + 4092620.

Almost surely, 2^1149986880 is an apocalyptic number.

1149986880 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 1149986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388435660).

1149986880 is an abundant number, since it is smaller than the sum of its proper divisors (3626884440).

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

1149986880 is a wasteful number, since it uses less digits than its factorization.

1149986880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The square root of 1149986880 is about 33911.4564712281. The cubic root of 1149986880 is about 1047.6855688994.

The spelling of 1149986880 in words is "one billion, one hundred forty-nine million, nine hundred eighty-six thousand, eight hundred eighty".