1088905006080 has 264 divisors, whose sum is σ = 3912773718672. Its totient is φ = 290374336512.

The previous prime is 1088905006039. The next prime is 1088905006097. The reversal of 1088905006080 is 806005098801.

1088905006080 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 9 + 0 + 500 + 60 + 80 = 666.

1088905006080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1088905006080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 806554 + ... + 1681766.

Almost surely, 2^{1088905006080} is an apocalyptic number.

1088905006080 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 1088905006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956386859336).

1088905006080 is an abundant number, since it is smaller than the sum of its proper divisors (2823868712592).

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

1088905006080 is an frugal number, since it uses more digits than its factorization.

1088905006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875253 (or 875223 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 1088905006080 in words is "one trillion, eighty-eight billion, nine hundred five million, six thousand, eighty".