11333820672 has 180 divisors, whose sum is σ = 33888334480. Its totient is φ = 3767565312.

The previous prime is 11333820613. The next prime is 11333820697. The reversal of 11333820672 is 27602833311.

11333820672 is a `hidden beast` number, since 113 + 338 + 206 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 12835143 + ... + 12836025.

Almost surely, 2^11333820672 is an apocalyptic number.

11333820672 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 11333820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16944167240).

11333820672 is an abundant number, since it is smaller than the sum of its proper divisors (22554513808).

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

11333820672 is an frugal number, since it uses more digits than its factorization.

11333820672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 11333820672 in words is "eleven billion, three hundred thirty-three million, eight hundred twenty thousand, six hundred seventy-two".