11191047162400 has 108 divisors (see below), whose sum is σ = 31780575651258. Its totient is φ = 3836930442240.

The previous prime is 11191047162359. The next prime is 11191047162431. The reversal of 11191047162400 is 426174019111.

It can be written as a sum of positive squares in 3 ways, for example, as 7957567079056 + 3233480083344 = 2820916^2 + 1798188^2 .

It is a super-2 number, since 2×11191047162400² (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 11191047162400.

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 17 ways as a sum of consecutive naturals, for example, 142703749 + ... + 142782148.

Almost surely, 2^{11191047162400} is an apocalyptic number.

11191047162400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11191047162400 is an abundant number, since it is smaller than the sum of its proper divisors (20589528488858).

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

11191047162400 is a wasteful number, since it uses less digits than its factorization.

11191047162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285485931 (or 285485911 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The spelling of 11191047162400 in words is "eleven trillion, one hundred ninety-one billion, forty-seven million, one hundred sixty-two thousand, four hundred".