1086120000 has 420 divisors, whose sum is σ = 4456273536. Its totient is φ = 247680000.

The previous prime is 1086119981. The next prime is 1086120017. The reversal of 1086120000 is 216801.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2519785 + ... + 2520215.

It is a vampire number, since it can be written as 18102 ⋅ 60000 (with its own digits).

Almost surely, 2^1086120000 is an apocalyptic number.

1086120000 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 1086120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228136768).

1086120000 is an abundant number, since it is smaller than the sum of its proper divisors (3370153536).

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

1086120000 is an equidigital number, since it uses as much as digits as its factorization.

1086120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1086120000 is about 32956.3347476627. The cubic root of 1086120000 is about 1027.9198916112.

Adding to 1086120000 its reverse (216801), we get a palindrome (1086336801).

The spelling of 1086120000 in words is "one billion, eighty-six million, one hundred twenty thousand".