1198293384960 has 864 divisors, whose sum is σ = 4963352647680. Its totient is φ = 273762865152.

The previous prime is 1198293384859. The next prime is 1198293384961. The reversal of 1198293384960 is 694833928911.

1198293384960 is a `hidden beast` number, since 1 + 1 + 9 + 82 + 93 + 384 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1198293384961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 580848889 + ... + 580850951.

It is an arithmetic number, because the mean of its divisors is an integer number (5744621120).

Almost surely, 2^{1198293384960} is an apocalyptic number.

1198293384960 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 1198293384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481676323840).

1198293384960 is an abundant number, since it is smaller than the sum of its proper divisors (3765059262720).

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

1198293384960 is an frugal number, since it uses more digits than its factorization.

1198293384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 1198293384960 in words is "one trillion, one hundred ninety-eight billion, two hundred ninety-three million, three hundred eighty-four thousand, nine hundred sixty".