11911320960 has 1024 divisors, whose sum is σ = 51438551040. Its totient is φ = 2270822400.

The previous prime is 11911320919. The next prime is 11911321039. The reversal of 11911320960 is 6902311911.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105409864 + ... + 105409976.

It is an arithmetic number, because the mean of its divisors is an integer number (50232960).

Almost surely, 2^11911320960 is an apocalyptic number.

11911320960 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 11911320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25719275520).

11911320960 is an abundant number, since it is smaller than the sum of its proper divisors (39527230080).

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

11911320960 is a wasteful number, since it uses less digits than its factorization.

11911320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The spelling of 11911320960 in words is "eleven billion, nine hundred eleven million, three hundred twenty thousand, nine hundred sixty".