1089953029200 has 480 divisors, whose sum is σ = 4029376992256. Its totient is φ = 246701998080.

The previous prime is 1089953029183. The next prime is 1089953029213. The reversal of 1089953029200 is 29203599801.

1089953029200 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1089953029200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 420343104 + ... + 420345696.

Almost surely, 2^{1089953029200} is an apocalyptic number.

1089953029200 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 1089953029200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014688496128).

1089953029200 is an abundant number, since it is smaller than the sum of its proper divisors (2939423963056).

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

1089953029200 is a wasteful number, since it uses less digits than its factorization.

1089953029200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 1089953029200 in words is "one trillion, eighty-nine billion, nine hundred fifty-three million, twenty-nine thousand, two hundred".