11235164160 has 272 divisors, whose sum is σ = 39258385920. Its totient is φ = 2721054720.

The previous prime is 11235164117. The next prime is 11235164183. The reversal of 11235164160 is 6146153211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10812921 + ... + 10813959.

Almost surely, 2^11235164160 is an apocalyptic number.

11235164160 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 11235164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19629192960).

11235164160 is an abundant number, since it is smaller than the sum of its proper divisors (28023221760).

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

11235164160 is an equidigital number, since it uses as much as digits as its factorization.

11235164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 11235164160 in words is "eleven billion, two hundred thirty-five million, one hundred sixty-four thousand, one hundred sixty".