1087967827072 has 128 divisors (see below), whose sum is σ = 2597592873600. Its totient is φ = 444025774080.

The previous prime is 1087967827061. The next prime is 1087967827073. The reversal of 1087967827072 is 2707287697801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 1087967826995 and 1087967827013.

It is not an unprimeable number, because it can be changed into a prime (1087967827073) 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 15 ways as a sum of consecutive naturals, for example, 1610047 + ... + 2183617.

It is an arithmetic number, because the mean of its divisors is an integer number (20293694325).

Almost surely, 2^{1087967827072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1087967827072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298796436800).

1087967827072 is an abundant number, since it is smaller than the sum of its proper divisors (1509625046528).

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

1087967827072 is an equidigital number, since it uses as much as digits as its factorization.

1087967827072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573694 (or 573682 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 64.

The spelling of 1087967827072 in words is "one trillion, eighty-seven billion, nine hundred sixty-seven million, eight hundred twenty-seven thousand, seventy-two".