11330881920 has 576 divisors, whose sum is σ = 42661663200. Its totient is φ = 2765537280.

The previous prime is 11330881907. The next prime is 11330881931. The reversal of 11330881920 is 2918803311.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127313236 + ... + 127313324.

Almost surely, 2^11330881920 is an apocalyptic number.

11330881920 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 11330881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21330831600).

11330881920 is an abundant number, since it is smaller than the sum of its proper divisors (31330781280).

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

11330881920 is a wasteful number, since it uses less digits than its factorization.

11330881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11330881920 in words is "eleven billion, three hundred thirty million, eight hundred eighty-one thousand, nine hundred twenty".