1193475409920 has 1344 divisors, whose sum is σ = 4592206710000. Its totient is φ = 296974024704.

The previous prime is 1193475409849. The next prime is 1193475409967. The reversal of 1193475409920 is 299045743911.

1193475409920 is a `hidden beast` number, since 1 + 1 + 9 + 3 + 4 + 7 + 540 + 9 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 538075063296 + 655400346624 = 733536^2 + 809568^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8009902006 + ... + 8009902154.

Almost surely, 2^{1193475409920} is an apocalyptic number.

1193475409920 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 1193475409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296103355000).

1193475409920 is an abundant number, since it is smaller than the sum of its proper divisors (3398731300080).

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

1193475409920 is an equidigital number, since it uses as much as digits as its factorization.

1193475409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 1193475409920 in words is "one trillion, one hundred ninety-three billion, four hundred seventy-five million, four hundred nine thousand, nine hundred twenty".