11281017552 has 320 divisors, whose sum is σ = 36645273600. Its totient is φ = 2983559040.

The previous prime is 11281017481. The next prime is 11281017557. The reversal of 11281017552 is 25571018211.

It is a super-2 number, since 2×11281017552² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11281017557) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363903777 + ... + 363903807.

It is an arithmetic number, because the mean of its divisors is an integer number (114516480).

Almost surely, 2^11281017552 is an apocalyptic number.

11281017552 is a gapful number since it is divisible by the number (12) 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 11281017552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18322636800).

11281017552 is an abundant number, since it is smaller than the sum of its proper divisors (25364256048).

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

11281017552 is an frugal number, since it uses more digits than its factorization.

11281017552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 33.

The spelling of 11281017552 in words is "eleven billion, two hundred eighty-one million, seventeen thousand, five hundred fifty-two".