1102086216000 has 3584 divisors, whose sum is σ = 5463014768640. Its totient is φ = 210760704000.

The previous prime is 1102086215959. The next prime is 1102086216047. The reversal of 1102086216000 is 6126802011.

1102086216000 is a `hidden beast` number, since 1 + 10 + 20 + 8 + 6 + 21 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 16449047967 + ... + 16449048033.

Almost surely, 2^{1102086216000} is an apocalyptic number.

1102086216000 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 1102086216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731507384320).

1102086216000 is an abundant number, since it is smaller than the sum of its proper divisors (4360928552640).

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

1102086216000 is a wasteful number, since it uses less digits than its factorization.

1102086216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 1102086216000 in words is "one trillion, one hundred two billion, eighty-six million, two hundred sixteen thousand".