1074809599488 has 320 divisors, whose sum is σ = 3224532991680. Its totient is φ = 353455570944.

The previous prime is 1074809599471. The next prime is 1074809599489. The reversal of 1074809599488 is 8849959084701.

1074809599488 is a `hidden beast` number, since 1 + 0 + 7 + 480 + 9 + 59 + 94 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074809599489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363970620 + ... + 363973572.

It is an arithmetic number, because the mean of its divisors is an integer number (10076665599).

Almost surely, 2^{1074809599488} is an apocalyptic number.

1074809599488 is a gapful number since it is divisible by the number (18) 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 1074809599488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612266495840).

1074809599488 is an abundant number, since it is smaller than the sum of its proper divisors (2149723392192).

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

1074809599488 is a wasteful number, since it uses less digits than its factorization.

1074809599488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 1074809599488 in words is "one trillion, seventy-four billion, eight hundred nine million, five hundred ninety-nine thousand, four hundred eighty-eight".