11107212480 has 1120 divisors, whose sum is σ = 51674426496. Its totient is φ = 2197684224.

The previous prime is 11107212469. The next prime is 11107212499. The reversal of 11107212480 is 8421270111.

11107212480 is a `hidden beast` number, since 1 + 110 + 72 + 1 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40098102 + ... + 40098378.

Almost surely, 2^11107212480 is an apocalyptic number.

11107212480 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 11107212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25837213248).

11107212480 is an abundant number, since it is smaller than the sum of its proper divisors (40567214016).

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

11107212480 is a wasteful number, since it uses less digits than its factorization.

11107212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

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

Adding to 11107212480 its reverse (8421270111), we get a palindrome (19528482591).

The spelling of 11107212480 in words is "eleven billion, one hundred seven million, two hundred twelve thousand, four hundred eighty".