1086505827000 has 768 divisors, whose sum is σ = 3835624665600. Its totient is φ = 255771648000.

The previous prime is 1086505826993. The next prime is 1086505827031. The reversal of 1086505827000 is 7285056801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2077448739 + ... + 2077449261.

It is an arithmetic number, because the mean of its divisors is an integer number (4994302950).

Almost surely, 2^{1086505827000} is an apocalyptic number.

1086505827000 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 1086505827000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917812332800).

1086505827000 is an abundant number, since it is smaller than the sum of its proper divisors (2749118838600).

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

1086505827000 is a wasteful number, since it uses less digits than its factorization.

1086505827000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 1086505827000 in words is "one trillion, eighty-six billion, five hundred five million, eight hundred twenty-seven thousand".