11424000011000 has 64 divisors (see below), whose sum is σ = 26996835116160. Its totient is φ = 4524356400000.

The previous prime is 11424000010993. The next prime is 11424000011009. The reversal of 11424000011000 is 11000042411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11424000011009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56453456 + ... + 56655455.

It is an arithmetic number, because the mean of its divisors is an integer number (421825548690).

Almost surely, 2^{11424000011000} is an apocalyptic number.

11424000011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11424000011000 is an abundant number, since it is smaller than the sum of its proper divisors (15572835105160).

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

11424000011000 is a wasteful number, since it uses less digits than its factorization.

11424000011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113109033 (or 113109019 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11424000011000 its reverse (11000042411), we get a palindrome (11435000053411).

The spelling of 11424000011000 in words is "eleven trillion, four hundred twenty-four billion, eleven thousand".