1139110800 has 240 divisors, whose sum is σ = 3926415360. Its totient is φ = 281387520.

The previous prime is 1139110799. The next prime is 1139110813. The reversal of 1139110800 is 80119311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1071069 + ... + 1072131.

It is an arithmetic number, because the mean of its divisors is an integer number (16360064).

Almost surely, 2^1139110800 is an apocalyptic number.

1139110800 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 1139110800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963207680).

1139110800 is an abundant number, since it is smaller than the sum of its proper divisors (2787304560).

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

1139110800 is a wasteful number, since it uses less digits than its factorization.

1139110800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The square root of 1139110800 is about 33750.7155479702. The cubic root of 1139110800 is about 1044.3722487528.

The spelling of 1139110800 in words is "one billion, one hundred thirty-nine million, one hundred ten thousand, eight hundred".