1086630166656 has 256 divisors, whose sum is σ = 3474697564800. Its totient is φ = 332974817280.

The previous prime is 1086630166579. The next prime is 1086630166667. The reversal of 1086630166656 is 6566610366801.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2311276 + ... + 2741396.

Almost surely, 2^{1086630166656} is an apocalyptic number.

1086630166656 is a gapful number since it is divisible by the number (16) 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 1086630166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737348782400).

1086630166656 is an abundant number, since it is smaller than the sum of its proper divisors (2388067398144).

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

1086630166656 is a wasteful number, since it uses less digits than its factorization.

1086630166656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430204 (or 430186 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1086630166656 in words is "one trillion, eighty-six billion, six hundred thirty million, one hundred sixty-six thousand, six hundred fifty-six".