1089253720800 has 2304 divisors, whose sum is σ = 4985280921600. Its totient is φ = 226748160000.

The previous prime is 1089253720757. The next prime is 1089253720817. The reversal of 1089253720800 is 80273529801.

It is a happy number.

1089253720800 is a `hidden beast` number, since 1 + 0 + 8 + 92 + 537 + 20 + 8 + 0 + 0 = 666.

1089253720800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 383 ways as a sum of consecutive naturals, for example, 7213600725 + ... + 7213600875.

It is an arithmetic number, because the mean of its divisors is an integer number (2163750400).

Almost surely, 2^{1089253720800} is an apocalyptic number.

1089253720800 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 1089253720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492640460800).

1089253720800 is an abundant number, since it is smaller than the sum of its proper divisors (3896027200800).

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

1089253720800 is a wasteful number, since it uses less digits than its factorization.

1089253720800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1089253720800 in words is "one trillion, eighty-nine billion, two hundred fifty-three million, seven hundred twenty thousand, eight hundred".