1083891229200 has 2400 divisors, whose sum is σ = 4838480317440. Its totient is φ = 229323571200.

The previous prime is 1083891229199. The next prime is 1083891229331. The reversal of 1083891229200 is 29221983801.

It is a happy number.

1083891229200 is a `hidden beast` number, since 108 + 38 + 91 + 229 + 200 = 666.

1083891229200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4217475472 + ... + 4217475728.

Almost surely, 2^{1083891229200} is an apocalyptic number.

1083891229200 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 1083891229200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419240158720).

1083891229200 is an abundant number, since it is smaller than the sum of its proper divisors (3754589088240).

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

1083891229200 is a wasteful number, since it uses less digits than its factorization.

1083891229200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1083891229200 in words is "one trillion, eighty-three billion, eight hundred ninety-one million, two hundred twenty-nine thousand, two hundred".