1086838006000 has 80 divisors (see below), whose sum is σ = 2635549394400. Its totient is φ = 433482086400.

The previous prime is 1086838005997. The next prime is 1086838006019. The reversal of 1086838006000 is 6008386801.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1086838006000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89025 + ... + 1477024.

It is an arithmetic number, because the mean of its divisors is an integer number (32944367430).

Almost surely, 2^{1086838006000} is an apocalyptic number.

1086838006000 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 1086838006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317774697200).

1086838006000 is an abundant number, since it is smaller than the sum of its proper divisors (1548711388400).

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

1086838006000 is a wasteful number, since it uses less digits than its factorization.

1086838006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566419 (or 1566403 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 1086838006000 in words is "one trillion, eighty-six billion, eight hundred thirty-eight million, six thousand".