1086950645760 has 1792 divisors, whose sum is σ = 4518247910400. Its totient is φ = 221962567680.

The previous prime is 1086950645747. The next prime is 1086950645791. The reversal of 1086950645760 is 675460596801.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a self number, because there is not a number n which added to its sum of digits gives 1086950645760.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26510991340 + ... + 26510991380.

It is an arithmetic number, because the mean of its divisors is an integer number (2521343700).

Almost surely, 2^{1086950645760} is an apocalyptic number.

1086950645760 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 1086950645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259123955200).

1086950645760 is an abundant number, since it is smaller than the sum of its proper divisors (3431297264640).

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

1086950645760 is an equidigital number, since it uses as much as digits as its factorization.

1086950645760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 1086950645760 in words is "one trillion, eighty-six billion, nine hundred fifty million, six hundred forty-five thousand, seven hundred sixty".