1097433093120 has 2112 divisors, whose sum is σ = 4808161290240. Its totient is φ = 207346728960.

The previous prime is 1097433093109. The next prime is 1097433093121. The reversal of 1097433093120 is 213903347901.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097433093121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25521699819 + ... + 25521699861.

It is an arithmetic number, because the mean of its divisors is an integer number (2276591520).

Almost surely, 2^{1097433093120} is an apocalyptic number.

1097433093120 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 1097433093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404080645120).

1097433093120 is an abundant number, since it is smaller than the sum of its proper divisors (3710728197120).

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

1097433093120 is a wasteful number, since it uses less digits than its factorization.

1097433093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The spelling of 1097433093120 in words is "one trillion, ninety-seven billion, four hundred thirty-three million, ninety-three thousand, one hundred twenty".