11042598067200 has 1848 divisors, whose sum is σ = 47321363194272. Its totient is φ = 2501537955840.

The previous prime is 11042598067199. The next prime is 11042598067201. The reversal of 11042598067200 is 276089524011.

11042598067200 is a `hidden beast` number, since 1 + 10 + 42 + 598 + 0 + 6 + 7 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11042598067199) and next prime (11042598067201).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11042598067201) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 17897241292 + ... + 17897241908.

Almost surely, 2^{11042598067200} is an apocalyptic number.

11042598067200 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 11042598067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23660681597136).

11042598067200 is an abundant number, since it is smaller than the sum of its proper divisors (36278765127072).

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

11042598067200 is an equidigital number, since it uses as much as digits as its factorization.

11042598067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11042598067200 in words is "eleven trillion, forty-two billion, five hundred ninety-eight million, sixty-seven thousand, two hundred".