1088734816512 has 864 divisors, whose sum is σ = 3979422720000. Its totient is φ = 285066915840.

The previous prime is 1088734816427. The next prime is 1088734816529. The reversal of 1088734816512 is 2156184378801.

1088734816512 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 73 + 48 + 16 + 512 = 666.

It is a super-2 number, since 2×1088734816512² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 465469039 + ... + 465471377.

Almost surely, 2^{1088734816512} is an apocalyptic number.

1088734816512 is a gapful number since it is divisible by the number (12) 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 1088734816512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989711360000).

1088734816512 is an abundant number, since it is smaller than the sum of its proper divisors (2890687903488).

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

1088734816512 is a wasteful number, since it uses less digits than its factorization.

1088734816512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1088734816512 in words is "one trillion, eighty-eight billion, seven hundred thirty-four million, eight hundred sixteen thousand, five hundred twelve".