11768041824 has 384 divisors, whose sum is σ = 39667138560. Its totient is φ = 2991352320.

The previous prime is 11768041787. The next prime is 11768041829. The reversal of 11768041824 is 42814086711.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11768041829) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52771377 + ... + 52771599.

It is an arithmetic number, because the mean of its divisors is an integer number (103299840).

Almost surely, 2^11768041824 is an apocalyptic number.

11768041824 is a gapful number since it is divisible by the number (14) 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 11768041824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19833569280).

11768041824 is an abundant number, since it is smaller than the sum of its proper divisors (27899096736).

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

11768041824 is a wasteful number, since it uses less digits than its factorization.

11768041824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 11768041824 in words is "eleven billion, seven hundred sixty-eight million, forty-one thousand, eight hundred twenty-four".