11448987967200 has 144 divisors (see below), whose sum is σ = 42590235300480. Its totient is φ = 2616911531520.

The previous prime is 11448987967189. The next prime is 11448987967279. The reversal of 11448987967200 is 276978984411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340726890 + ... + 340760489.

It is an arithmetic number, because the mean of its divisors is an integer number (295765522920).

Almost surely, 2^{11448987967200} is an apocalyptic number.

11448987967200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11448987967200 is an abundant number, since it is smaller than the sum of its proper divisors (31141247333280).

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

11448987967200 is a wasteful number, since it uses less digits than its factorization.

11448987967200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681487409 (or 681487396 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 66.

The spelling of 11448987967200 in words is "eleven trillion, four hundred forty-eight billion, nine hundred eighty-seven million, nine hundred sixty-seven thousand, two hundred".