11310504192 has 432 divisors, whose sum is σ = 37732771440. Its totient is φ = 3227516928.

The previous prime is 11310504187. The next prime is 11310504217. The reversal of 11310504192 is 29140501311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 391090176 + 10919414016 = 19776^2 + 104496^2 .

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, 49390734 + ... + 49390962.

Almost surely, 2^11310504192 is an apocalyptic number.

11310504192 is a gapful number since it is divisible by the number (12) 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 11310504192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18866385720).

11310504192 is an abundant number, since it is smaller than the sum of its proper divisors (26422267248).

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

11310504192 is a wasteful number, since it uses less digits than its factorization.

11310504192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 361 counting only the distinct ones).

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

The spelling of 11310504192 in words is "eleven billion, three hundred ten million, five hundred four thousand, one hundred ninety-two".