11978959816900 has 36 divisors (see below), whose sum is σ = 26360460322560. Its totient is φ = 4724096826400.

The previous prime is 11978959816883. The next prime is 11978959816919. The reversal of 11978959816900 is 961895987911.

It is a happy number.

It is a super-2 number, since 2×11978959816900² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 843581620 + ... + 843595819.

It is an arithmetic number, because the mean of its divisors is an integer number (732235008960).

Almost surely, 2^{11978959816900} is an apocalyptic number.

11978959816900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11978959816900 is an abundant number, since it is smaller than the sum of its proper divisors (14381500505660).

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

11978959816900 is a wasteful number, since it uses less digits than its factorization.

11978959816900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687177524 (or 1687177517 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 73.

The spelling of 11978959816900 in words is "eleven trillion, nine hundred seventy-eight billion, nine hundred fifty-nine million, eight hundred sixteen thousand, nine hundred".