11119161600 has 540 divisors, whose sum is σ = 41747054580. Its totient is φ = 2919628800.

The previous prime is 11119161569. The next prime is 11119161617. The reversal of 11119161600 is 616191111.

It can be written as a sum of positive squares in 6 ways, for example, as 339738624 + 10779422976 = 18432^2 + 103824^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46137480 + ... + 46137720.

Almost surely, 2^11119161600 is an apocalyptic number.

11119161600 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 11119161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20873527290).

11119161600 is an abundant number, since it is smaller than the sum of its proper divisors (30627892980).

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

11119161600 is an equidigital number, since it uses as much as digits as its factorization.

11119161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 11119161600 in words is "eleven billion, one hundred nineteen million, one hundred sixty-one thousand, six hundred".