11148272100 has 216 divisors, whose sum is σ = 39996815040. Its totient is φ = 2544272640.

The previous prime is 11148272039. The next prime is 11148272129. The reversal of 11148272100 is 127284111.

11148272100 is a `hidden beast` number, since 1 + 11 + 482 + 72 + 100 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6885091 + ... + 6886709.

It is an arithmetic number, because the mean of its divisors is an integer number (185170440).

Almost surely, 2^11148272100 is an apocalyptic number.

11148272100 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 11148272100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998407520).

11148272100 is an abundant number, since it is smaller than the sum of its proper divisors (28848542940).

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

11148272100 is a wasteful number, since it uses less digits than its factorization.

11148272100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 11148272100 in words is "eleven billion, one hundred forty-eight million, two hundred seventy-two thousand, one hundred".