11124658080 has 288 divisors, whose sum is σ = 40086446400. Its totient is φ = 2801627136.

The previous prime is 11124658079. The next prime is 11124658123. The reversal of 11124658080 is 8085642111.

11124658080 is a `hidden beast` number, since 1 + 112 + 465 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 16880791 + ... + 16881449.

It is an arithmetic number, because the mean of its divisors is an integer number (139189050).

Almost surely, 2^11124658080 is an apocalyptic number.

11124658080 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 11124658080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20043223200).

11124658080 is an abundant number, since it is smaller than the sum of its proper divisors (28961788320).

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

11124658080 is a wasteful number, since it uses less digits than its factorization.

11124658080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 11124658080 in words is "eleven billion, one hundred twenty-four million, six hundred fifty-eight thousand, eighty".