11172789511680 has 80 divisors (see below), whose sum is σ = 35718011494704. Its totient is φ = 2979410534400.

The previous prime is 11172789511649. The next prime is 11172789511691. The reversal of 11172789511680 is 8611598727111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11172789511680² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11172789511680.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 727387471 + ... + 727402830.

Almost surely, 2^{11172789511680} is an apocalyptic number.

11172789511680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11172789511680 is an abundant number, since it is smaller than the sum of its proper divisors (24545221983024).

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

11172789511680 is an equidigital number, since it uses as much as digits as its factorization.

11172789511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454790327 (or 1454790311 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 57.

The spelling of 11172789511680 in words is "eleven trillion, one hundred seventy-two billion, seven hundred eighty-nine million, five hundred eleven thousand, six hundred eighty".