11920970880 has 1440 divisors, whose sum is σ = 56286554940. Its totient is φ = 2382815232.

The previous prime is 11920970851. The next prime is 11920970881. The reversal of 11920970880 is 8807902911.

It can be written as a sum of positive squares in 2 ways, for example, as 11095672896 + 825297984 = 105336^2 + 28728^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (11920970881) by changing a digit.

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 179 ways as a sum of consecutive naturals, for example, 627419511 + ... + 627419529.

Almost surely, 2^11920970880 is an apocalyptic number.

11920970880 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 11920970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28143277470).

11920970880 is an abundant number, since it is smaller than the sum of its proper divisors (44365584060).

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

11920970880 is a wasteful number, since it uses less digits than its factorization.

11920970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 11920970880 in words is "eleven billion, nine hundred twenty million, nine hundred seventy thousand, eight hundred eighty".