11148582920 has 64 divisors (see below), whose sum is σ = 25483680000. Its totient is φ = 4388567040.

The previous prime is 11148582911. The next prime is 11148582989. The reversal of 11148582920 is 2928584111.

It is a super-2 number, since 2×11148582920² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5356280 + ... + 5358360.

It is an arithmetic number, because the mean of its divisors is an integer number (398182500).

Almost surely, 2^11148582920 is an apocalyptic number.

11148582920 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 11148582920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12741840000).

11148582920 is an abundant number, since it is smaller than the sum of its proper divisors (14335097080).

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

11148582920 is a wasteful number, since it uses less digits than its factorization.

11148582920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 41.

The spelling of 11148582920 in words is "eleven billion, one hundred forty-eight million, five hundred eighty-two thousand, nine hundred twenty".