1132579880960 has 512 divisors, whose sum is σ = 3139136985600. Its totient is φ = 388245749760.

The previous prime is 1132579880953. The next prime is 1132579880969. The reversal of 1132579880960 is 690889752311.

It is a tau number, because it is divible by the number of its divisors (512).

It is a self number, because there is not a number n which added to its sum of digits gives 1132579880960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132579880969) 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, 3689185127 + ... + 3689185433.

It is an arithmetic number, because the mean of its divisors is an integer number (6131126925).

Almost surely, 2^{1132579880960} is an apocalyptic number.

1132579880960 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 1132579880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569568492800).

1132579880960 is an abundant number, since it is smaller than the sum of its proper divisors (2006557104640).

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

1132579880960 is an equidigital number, since it uses as much as digits as its factorization.

1132579880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 59.

The spelling of 1132579880960 in words is "one trillion, one hundred thirty-two billion, five hundred seventy-nine million, eight hundred eighty thousand, nine hundred sixty".