1086611811840 has 800 divisors, whose sum is σ = 4113061524000. Its totient is φ = 273420582912.

The previous prime is 1086611811839. The next prime is 1086611811869. The reversal of 1086611811840 is 481181166801.

1086611811840 is a `hidden beast` number, since 10 + 8 + 6 + 611 + 8 + 1 + 18 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1532597406 + ... + 1532598114.

It is an arithmetic number, because the mean of its divisors is an integer number (5141326905).

Almost surely, 2^{1086611811840} is an apocalyptic number.

1086611811840 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 1086611811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056530762000).

1086611811840 is an abundant number, since it is smaller than the sum of its proper divisors (3026449712160).

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

1086611811840 is an equidigital number, since it uses as much as digits as its factorization.

1086611811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 1086611811840 in words is "one trillion, eighty-six billion, six hundred eleven million, eight hundred eleven thousand, eight hundred forty".