11233774080 has 960 divisors, whose sum is σ = 45501730560. Its totient is φ = 2543321088.

The previous prime is 11233774039. The next prime is 11233774127. The reversal of 11233774080 is 8047733211.

11233774080 is a `hidden beast` number, since 11 + 233 + 7 + 7 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261250539 + ... + 261250581.

It is an arithmetic number, because the mean of its divisors is an integer number (47397636).

Almost surely, 2^11233774080 is an apocalyptic number.

11233774080 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 11233774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22750865280).

11233774080 is an abundant number, since it is smaller than the sum of its proper divisors (34267956480).

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

11233774080 is a wasteful number, since it uses less digits than its factorization.

11233774080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 11233774080 in words is "eleven billion, two hundred thirty-three million, seven hundred seventy-four thousand, eighty".