1086152596128 has 144 divisors (see below), whose sum is σ = 3442565992320. Its totient is φ = 322819319808.

The previous prime is 1086152596103. The next prime is 1086152596129. The reversal of 1086152596128 is 8216952516801.

1086152596128 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 1 + 525 + 96 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1086152596129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5745000 + ... + 5931047.

It is an arithmetic number, because the mean of its divisors is an integer number (23906708280).

Almost surely, 2^{1086152596128} is an apocalyptic number.

1086152596128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1086152596128 is an abundant number, since it is smaller than the sum of its proper divisors (2356413396192).

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

1086152596128 is a wasteful number, since it uses less digits than its factorization.

1086152596128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11676099 (or 11676088 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 1086152596128 in words is "one trillion, eighty-six billion, one hundred fifty-two million, five hundred ninety-six thousand, one hundred twenty-eight".