1153993920768 has 864 divisors, whose sum is σ = 3846336539136. Its totient is φ = 342838738944.

The previous prime is 1153993920707. The next prime is 1153993920803. The reversal of 1153993920768 is 8670293993511.

1153993920768 is a `hidden beast` number, since 1 + 1 + 5 + 399 + 39 + 207 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3686881380 + ... + 3686881692.

Almost surely, 2^{1153993920768} is an apocalyptic number.

1153993920768 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 1153993920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923168269568).

1153993920768 is an abundant number, since it is smaller than the sum of its proper divisors (2692342618368).

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

1153993920768 is an equidigital number, since it uses as much as digits as its factorization.

1153993920768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 1153993920768 in words is "one trillion, one hundred fifty-three billion, nine hundred ninety-three million, nine hundred twenty thousand, seven hundred sixty-eight".