11184037830 has 288 divisors, whose sum is σ = 35920834560. Its totient is φ = 2400451200.

The previous prime is 11184037819. The next prime is 11184037871. The reversal of 11184037830 is 3873048111.

It is a super-2 number, since 2×11184037830² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10640805 + ... + 10641855.

It is an arithmetic number, because the mean of its divisors is an integer number (124725120).

Almost surely, 2^11184037830 is an apocalyptic number.

11184037830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11184037830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17960417280).

11184037830 is an abundant number, since it is smaller than the sum of its proper divisors (24736796730).

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

11184037830 is a wasteful number, since it uses less digits than its factorization.

11184037830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11184037830 in words is "eleven billion, one hundred eighty-four million, thirty-seven thousand, eight hundred thirty".