11130278544 has 240 divisors, whose sum is σ = 39101961600. Its totient is φ = 2871152640.

The previous prime is 11130278461. The next prime is 11130278557. The reversal of 11130278544 is 44587203111.

11130278544 is a `hidden beast` number, since 1 + 11 + 30 + 2 + 78 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11130278499 and 11130278508.

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, 1648744 + ... + 1655480.

It is an arithmetic number, because the mean of its divisors is an integer number (162924840).

Almost surely, 2^11130278544 is an apocalyptic number.

11130278544 is a gapful number since it is divisible by the number (14) 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 11130278544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19550980800).

11130278544 is an abundant number, since it is smaller than the sum of its proper divisors (27971683056).

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

11130278544 is a wasteful number, since it uses less digits than its factorization.

11130278544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6918 (or 6909 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11130278544 in words is "eleven billion, one hundred thirty million, two hundred seventy-eight thousand, five hundred forty-four".