11269800812040 has 256 divisors, whose sum is σ = 35799233126400. Its totient is φ = 2830326230016.

The previous prime is 11269800812029. The next prime is 11269800812051. The reversal of 11269800812040 is 4021800896211.

It is an interprime number because it is at equal distance from previous prime (11269800812029) and next prime (11269800812051).

It is a junction number, because it is equal to n+sod(n) for n = 11269800811983 and 11269800812001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265231677 + ... + 265274163.

It is an arithmetic number, because the mean of its divisors is an integer number (139840754400).

Almost surely, 2^{11269800812040} is an apocalyptic number.

11269800812040 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 11269800812040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17899616563200).

11269800812040 is an abundant number, since it is smaller than the sum of its proper divisors (24529432314360).

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

11269800812040 is a wasteful number, since it uses less digits than its factorization.

11269800812040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43204 (or 43200 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 11269800812040 in words is "eleven trillion, two hundred sixty-nine billion, eight hundred million, eight hundred twelve thousand, forty".