1089463322880 has 576 divisors, whose sum is σ = 4084218109440. Its totient is φ = 277875671040.

The previous prime is 1089463322869. The next prime is 1089463322911. The reversal of 1089463322880 is 882233649801.

1089463322880 is a `hidden beast` number, since 1 + 0 + 89 + 463 + 3 + 2 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1089463322880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64376820 + ... + 64393740.

It is an arithmetic number, because the mean of its divisors is an integer number (7090656440).

Almost surely, 2^{1089463322880} is an apocalyptic number.

1089463322880 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 1089463322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042109054720).

1089463322880 is an abundant number, since it is smaller than the sum of its proper divisors (2994754786560).

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

1089463322880 is an frugal number, since it uses more digits than its factorization.

1089463322880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16986 (or 16954 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1089463322880 in words is "one trillion, eighty-nine billion, four hundred sixty-three million, three hundred twenty-two thousand, eight hundred eighty".