1089278215200 has 1296 divisors, whose sum is σ = 4760279072640. Its totient is φ = 237967994880.

The previous prime is 1089278215121. The next prime is 1089278215213. The reversal of 1089278215200 is 25128729801.

1089278215200 is a `hidden beast` number, since 1 + 0 + 89 + 27 + 8 + 21 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×1089278215200² (a number of 25 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 845056156 + ... + 845057444.

It is an arithmetic number, because the mean of its divisors is an integer number (3673054840).

Almost surely, 2^{1089278215200} is an apocalyptic number.

1089278215200 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 1089278215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380139536320).

1089278215200 is an abundant number, since it is smaller than the sum of its proper divisors (3671000857440).

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

1089278215200 is an equidigital number, since it uses as much as digits as its factorization.

1089278215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 1089278215200 in words is "one trillion, eighty-nine billion, two hundred seventy-eight million, two hundred fifteen thousand, two hundred".