11125219968 has 256 divisors, whose sum is σ = 36282297600. Its totient is φ = 3338108928.

The previous prime is 11125219957. The next prime is 11125219979. The reversal of 11125219968 is 86991252111.

11125219968 is a `hidden beast` number, since 1 + 112 + 521 + 9 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11125219957) and next prime (11125219979).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1347180 + ... + 1355412.

It is an arithmetic number, because the mean of its divisors is an integer number (141727725).

Almost surely, 2^11125219968 is an apocalyptic number.

11125219968 is a gapful number since it is divisible by the number (18) 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 11125219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18141148800).

11125219968 is an abundant number, since it is smaller than the sum of its proper divisors (25157077632).

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

11125219968 is a wasteful number, since it uses less digits than its factorization.

11125219968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8296 (or 8278 counting only the distinct ones).

The product of its digits is 77760, while the sum is 45.

The spelling of 11125219968 in words is "eleven billion, one hundred twenty-five million, two hundred nineteen thousand, nine hundred sixty-eight".