11160077200 has 120 divisors (see below), whose sum is σ = 27317001600. Its totient is φ = 4380679680.

The previous prime is 11160077189. The next prime is 11160077219. The reversal of 11160077200 is 277006111.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5655414 + ... + 5657386.

It is an arithmetic number, because the mean of its divisors is an integer number (227641680).

Almost surely, 2^11160077200 is an apocalyptic number.

11160077200 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 11160077200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13658500800).

11160077200 is an abundant number, since it is smaller than the sum of its proper divisors (16156924400).

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

11160077200 is a wasteful number, since it uses less digits than its factorization.

11160077200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 25.

The spelling of 11160077200 in words is "eleven billion, one hundred sixty million, seventy-seven thousand, two hundred".