1086912000000 has 1456 divisors, whose sum is σ = 4377009598560. Its totient is φ = 265420800000.

The previous prime is 1086911999981. The next prime is 1086912000019. The reversal of 1086912000000 is 2196801.

It is an interprime number because it is at equal distance from previous prime (1086911999981) and next prime (1086912000019).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 29375999982 + ... + 29376000018.

Almost surely, 2^{1086912000000} is an apocalyptic number.

1086912000000 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 1086912000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188504799280).

1086912000000 is an abundant number, since it is smaller than the sum of its proper divisors (3290097598560).

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

1086912000000 is an frugal number, since it uses more digits than its factorization.

1086912000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 1086912000000 its reverse (2196801), we get a palindrome (1086914196801).

It can be divided in two parts, 108 and 6912000000, that multiplied together give a square (746496000000 = 864000²).

The spelling of 1086912000000 in words is "one trillion, eighty-six billion, nine hundred twelve million", and thus it is an aban number.