1088463028320 has 288 divisors, whose sum is σ = 3945546521280. Its totient is φ = 272302571520.

The previous prime is 1088463028313. The next prime is 1088463028361. The reversal of 1088463028320 is 238203648801.

1088463028320 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 4 + 630 + 2 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7541796 + ... + 7684764.

It is an arithmetic number, because the mean of its divisors is an integer number (13699814310).

Almost surely, 2^{1088463028320} is an apocalyptic number.

1088463028320 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 1088463028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972773260640).

1088463028320 is an abundant number, since it is smaller than the sum of its proper divisors (2857083492960).

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

1088463028320 is a wasteful number, since it uses less digits than its factorization.

1088463028320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143318 (or 143307 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1088463028320 in words is "one trillion, eighty-eight billion, four hundred sixty-three million, twenty-eight thousand, three hundred twenty".