1086635421360 has 480 divisors, whose sum is σ = 3974557362048. Its totient is φ = 265299640320.

The previous prime is 1086635421343. The next prime is 1086635421409. The reversal of 1086635421360 is 631245366801.

1086635421360 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 635 + 4 + 2 + 1 + 3 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35969782 + ... + 35999978.

Almost surely, 2^{1086635421360} is an apocalyptic number.

1086635421360 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 1086635421360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987278681024).

1086635421360 is an abundant number, since it is smaller than the sum of its proper divisors (2887921940688).

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

1086635421360 is a wasteful number, since it uses less digits than its factorization.

1086635421360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30333 (or 30324 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1086635421360 in words is "one trillion, eighty-six billion, six hundred thirty-five million, four hundred twenty-one thousand, three hundred sixty".