1086728348160 has 1760 divisors, whose sum is σ = 4871203223040. Its totient is φ = 226385362944.

The previous prime is 1086728348143. The next prime is 1086728348197. The reversal of 1086728348160 is 618438276801.

1086728348160 is a `hidden beast` number, since 1 + 0 + 86 + 7 + 2 + 83 + 481 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1086728348097 and 1086728348106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 13756055001 + ... + 13756055079.

It is an arithmetic number, because the mean of its divisors is an integer number (2767729104).

Almost surely, 2^{1086728348160} is an apocalyptic number.

1086728348160 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 1086728348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435601611520).

1086728348160 is an abundant number, since it is smaller than the sum of its proper divisors (3784474874880).

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

1086728348160 is an frugal number, since it uses more digits than its factorization.

1086728348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1086728348160 in words is "one trillion, eighty-six billion, seven hundred twenty-eight million, three hundred forty-eight thousand, one hundred sixty".