11330991672 has 576 divisors, whose sum is σ = 40014984960. Its totient is φ = 2641766400.

The previous prime is 11330991667. The next prime is 11330991751. The reversal of 11330991672 is 27619903311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 155219028 + ... + 155219100.

It is an arithmetic number, because the mean of its divisors is an integer number (69470460).

Almost surely, 2^11330991672 is an apocalyptic number.

11330991672 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 11330991672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20007492480).

11330991672 is an abundant number, since it is smaller than the sum of its proper divisors (28683993288).

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

11330991672 is a wasteful number, since it uses less digits than its factorization.

11330991672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

It can be divided in two parts, 1133099 and 1672, that added together give a triangular number (1134771 = T₁₅₀₆).

The spelling of 11330991672 in words is "eleven billion, three hundred thirty million, nine hundred ninety-one thousand, six hundred seventy-two".