11305831152 has 240 divisors, whose sum is σ = 37232866944. Its totient is φ = 2923200000.

The previous prime is 11305831123. The next prime is 11305831213. The reversal of 11305831152 is 25113850311.

It is a super-3 number, since 3×11305831152³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6493002 + ... + 6494742.

Almost surely, 2^11305831152 is an apocalyptic number.

11305831152 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 11305831152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18616433472).

11305831152 is an abundant number, since it is smaller than the sum of its proper divisors (25927035792).

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

11305831152 is a wasteful number, since it uses less digits than its factorization.

11305831152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 11305831152 in words is "eleven billion, three hundred five million, eight hundred thirty-one thousand, one hundred fifty-two".