11920965009408 has 2304 divisors, whose sum is σ = 46991929420800. Its totient is φ = 2877586145280.

The previous prime is 11920965009407. The next prime is 11920965009409. The reversal of 11920965009408 is 80490056902911.

11920965009408 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 0 + 96 + 500 + 9 + 40 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11920965009407) and next prime (11920965009409).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11920965009403) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133943427028 + ... + 133943427116.

It is an arithmetic number, because the mean of its divisors is an integer number (20395802700).

Almost surely, 2^{11920965009408} is an apocalyptic number.

11920965009408 is a gapful number since it is divisible by the number (18) 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 11920965009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23495964710400).

11920965009408 is an abundant number, since it is smaller than the sum of its proper divisors (35070964411392).

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

11920965009408 is a wasteful number, since it uses less digits than its factorization.

11920965009408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 11920965009408 in words is "eleven trillion, nine hundred twenty billion, nine hundred sixty-five million, nine thousand, four hundred eight".