1089126846720 has 576 divisors, whose sum is σ = 4251265562880. Its totient is φ = 264019599360.

The previous prime is 1089126846679. The next prime is 1089126846721. The reversal of 1089126846720 is 276486219801.

It is a happy number.

1089126846720 is a `hidden beast` number, since 10 + 8 + 91 + 2 + 68 + 467 + 20 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (1089126846721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45987522 + ... + 46011198.

It is an arithmetic number, because the mean of its divisors is an integer number (7380669380).

Almost surely, 2^{1089126846720} is an apocalyptic number.

1089126846720 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 1089126846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125632781440).

1089126846720 is an abundant number, since it is smaller than the sum of its proper divisors (3162138716160).

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

1089126846720 is an equidigital number, since it uses as much as digits as its factorization.

1089126846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23740 (or 23698 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1089126846720 in words is "one trillion, eighty-nine billion, one hundred twenty-six million, eight hundred forty-six thousand, seven hundred twenty".