11027849280 has 224 divisors, whose sum is σ = 42121896960. Its totient is φ = 2387957760.

The previous prime is 11027849279. The next prime is 11027849281. The reversal of 11027849280 is 8294872011.

It is an interprime number because it is at equal distance from previous prime (11027849279) and next prime (11027849281).

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

It is a super-2 number, since 2×11027849280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11027849281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84495 + ... + 170865.

Almost surely, 2^11027849280 is an apocalyptic number.

11027849280 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 11027849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21060948480).

11027849280 is an abundant number, since it is smaller than the sum of its proper divisors (31094047680).

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

11027849280 is a wasteful number, since it uses less digits than its factorization.

11027849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86417 (or 86407 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 11027849280 in words is "eleven billion, twenty-seven million, eight hundred forty-nine thousand, two hundred eighty".