11969717760 has 1280 divisors, whose sum is σ = 57416325120. Its totient is φ = 2282618880.

The previous prime is 11969717699. The next prime is 11969717791. The reversal of 11969717760 is 6771796911.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11969717697 and 11969717706.

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, 69189034 + ... + 69189206.

It is an arithmetic number, because the mean of its divisors is an integer number (44856504).

Almost surely, 2^11969717760 is an apocalyptic number.

11969717760 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 11969717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28708162560).

11969717760 is an abundant number, since it is smaller than the sum of its proper divisors (45446607360).

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

11969717760 is a wasteful number, since it uses less digits than its factorization.

11969717760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1000188, while the sum is 54.

The spelling of 11969717760 in words is "eleven billion, nine hundred sixty-nine million, seven hundred seventeen thousand, seven hundred sixty".