11967096960 has 1152 divisors, whose sum is σ = 54711820800. Its totient is φ = 2346319872.

The previous prime is 11967096959. The next prime is 11967096991. The reversal of 11967096960 is 6969076911.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×11967096960² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11967096897 and 11967096906.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 151482201 + ... + 151482279.

It is an arithmetic number, because the mean of its divisors is an integer number (47492900).

Almost surely, 2^11967096960 is an apocalyptic number.

11967096960 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 11967096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27355910400).

11967096960 is an abundant number, since it is smaller than the sum of its proper divisors (42744723840).

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

11967096960 is a wasteful number, since it uses less digits than its factorization.

11967096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 11967096960 in words is "eleven billion, nine hundred sixty-seven million, ninety-six thousand, nine hundred sixty".