11778691680 has 192 divisors, whose sum is σ = 47114887680. Its totient is φ = 2692265472.

The previous prime is 11778691643. The next prime is 11778691699. The reversal of 11778691680 is 8619687711.

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

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 31 ways as a sum of consecutive naturals, for example, 164514 + ... + 224993.

It is an arithmetic number, because the mean of its divisors is an integer number (245390040).

Almost surely, 2^11778691680 is an apocalyptic number.

11778691680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11778691680 is an abundant number, since it is smaller than the sum of its proper divisors (35336196000).

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

11778691680 is a wasteful number, since it uses less digits than its factorization.

11778691680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389538 (or 389524 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 11778691680 in words is "eleven billion, seven hundred seventy-eight million, six hundred ninety-one thousand, six hundred eighty".