11733828480 has 768 divisors, whose sum is σ = 48385209600. Its totient is φ = 2694850560.

The previous prime is 11733828479. The next prime is 11733828497. The reversal of 11733828480 is 8482833711.

11733828480 is a `hidden beast` number, since 117 + 3 + 38 + 28 + 480 = 666.

It is a super-2 number, since 2×11733828480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 617569911 + ... + 617569929.

It is an arithmetic number, because the mean of its divisors is an integer number (63001575).

Almost surely, 2^11733828480 is an apocalyptic number.

11733828480 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 11733828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192604800).

11733828480 is an abundant number, since it is smaller than the sum of its proper divisors (36651381120).

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

11733828480 is an frugal number, since it uses more digits than its factorization.

11733828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 11733828480 in words is "eleven billion, seven hundred thirty-three million, eight hundred twenty-eight thousand, four hundred eighty".