1111780987200 has 2352 divisors, whose sum is σ = 4944825385920. Its totient is φ = 242939658240.

The previous prime is 1111780987189. The next prime is 1111780987249. The reversal of 1111780987200 is 27890871111.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 335 ways as a sum of consecutive naturals, for example, 4897713487 + ... + 4897713713.

Almost surely, 2^{1111780987200} is an apocalyptic number.

1111780987200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111780987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472412692960).

1111780987200 is an abundant number, since it is smaller than the sum of its proper divisors (3833044398720).

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

1111780987200 is a wasteful number, since it uses less digits than its factorization.

1111780987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 45.

The spelling of 1111780987200 in words is "one trillion, one hundred eleven billion, seven hundred eighty million, nine hundred eighty-seven thousand, two hundred".