1089260213760 has 480 divisors, whose sum is σ = 3940997572512. Its totient is φ = 288326615040.

The previous prime is 1089260213731. The next prime is 1089260213761. The reversal of 1089260213760 is 673120629801.

1089260213760 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 2 + 602 + 1 + 37 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089260213761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85218570 + ... + 85231350.

Almost surely, 2^{1089260213760} is an apocalyptic number.

1089260213760 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 1089260213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970498786256).

1089260213760 is an abundant number, since it is smaller than the sum of its proper divisors (2851737358752).

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

1089260213760 is an equidigital number, since it uses as much as digits as its factorization.

1089260213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12956 (or 12928 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1089260213760 in words is "one trillion, eighty-nine billion, two hundred sixty million, two hundred thirteen thousand, seven hundred sixty".