1089644023800 has 288 divisors, whose sum is σ = 3740640583680. Its totient is φ = 284131180800.

The previous prime is 1089644023757. The next prime is 1089644023807. The reversal of 1089644023800 is 83204469801.

It is a happy number.

1089644023800 is a `hidden beast` number, since 108 + 9 + 6 + 440 + 23 + 80 + 0 = 666.

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 (1089644023807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104137369 + ... + 104147831.

It is an arithmetic number, because the mean of its divisors is an integer number (12988335360).

Almost surely, 2^{1089644023800} is an apocalyptic number.

1089644023800 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 1089644023800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870320291840).

1089644023800 is an abundant number, since it is smaller than the sum of its proper divisors (2650996559880).

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

1089644023800 is a wasteful number, since it uses less digits than its factorization.

1089644023800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11763 (or 11751 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1089644023800 in words is "one trillion, eighty-nine billion, six hundred forty-four million, twenty-three thousand, eight hundred".