1097228280960 has 896 divisors, whose sum is σ = 4528828886400. Its totient is φ = 248887738368.

The previous prime is 1097228280947. The next prime is 1097228280961. The reversal of 1097228280960 is 690828227901.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1097228280897 and 1097228280906.

It is not an unprimeable number, because it can be changed into a prime (1097228280961) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 453961672 + ... + 453964088.

It is an arithmetic number, because the mean of its divisors is an integer number (5054496525).

Almost surely, 2^{1097228280960} is an apocalyptic number.

1097228280960 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 1097228280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264414443200).

1097228280960 is an abundant number, since it is smaller than the sum of its proper divisors (3431600605440).

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

1097228280960 is an equidigital number, since it uses as much as digits as its factorization.

1097228280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1097228280960 in words is "one trillion, ninety-seven billion, two hundred twenty-eight million, two hundred eighty thousand, nine hundred sixty".