11126498997824 has 224 divisors, whose sum is σ = 25640734291200. Its totient is φ = 4692278771712.

The previous prime is 11126498997797. The next prime is 11126498997863. The reversal of 11126498997824 is 42879989462111.

It is a tau number, because it is divible by the number of its divisors (224).

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, 4491924074 + ... + 4491926550.

It is an arithmetic number, because the mean of its divisors is an integer number (114467563800).

Almost surely, 2^{11126498997824} is an apocalyptic number.

11126498997824 is a gapful number since it is divisible by the number (14) 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 11126498997824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12820367145600).

11126498997824 is an abundant number, since it is smaller than the sum of its proper divisors (14514235293376).

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

11126498997824 is a wasteful number, since it uses less digits than its factorization.

11126498997824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3235 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 71.

The spelling of 11126498997824 in words is "eleven trillion, one hundred twenty-six billion, four hundred ninety-eight million, nine hundred ninety-seven thousand, eight hundred twenty-four".