1159768529920 has 880 divisors, whose sum is σ = 3794093342208. Its totient is φ = 330440048640.

The previous prime is 1159768529869. The next prime is 1159768529921. The reversal of 1159768529920 is 299258679511.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1159768529921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11259888589 + ... + 11259888691.

Almost surely, 2^{1159768529920} is an apocalyptic number.

1159768529920 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 1159768529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897046671104).

1159768529920 is an abundant number, since it is smaller than the sum of its proper divisors (2634324812288).

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

1159768529920 is an equidigital number, since it uses as much as digits as its factorization.

1159768529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 64.

The spelling of 1159768529920 in words is "one trillion, one hundred fifty-nine billion, seven hundred sixty-eight million, five hundred twenty-nine thousand, nine hundred twenty".