11110000560000 has 320 divisors, whose sum is σ = 36901426763520. Its totient is φ = 2960694016000.

The previous prime is 11110000559993. The next prime is 11110000560011. The reversal of 11110000560000 is 6500001111.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×11110000560000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 379905379 + ... + 379934621.

It is an arithmetic number, because the mean of its divisors is an integer number (115316958636).

Almost surely, 2^{11110000560000} is an apocalyptic number.

11110000560000 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 11110000560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18450713381760).

11110000560000 is an abundant number, since it is smaller than the sum of its proper divisors (25791426203520).

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

11110000560000 is an equidigital number, since it uses as much as digits as its factorization.

11110000560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30863 (or 30836 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 11110000560000 its reverse (6500001111), we get a palindrome (11116500561111).

The spelling of 11110000560000 in words is "eleven trillion, one hundred ten billion, five hundred sixty thousand".