1192865630880 has 1536 divisors, whose sum is σ = 5040978001920. Its totient is φ = 229920768000.

The previous prime is 1192865630843. The next prime is 1192865630881. The reversal of 1192865630880 is 880365682911.

It is a self number, because there is not a number n which added to its sum of digits gives 1192865630880.

It is not an unprimeable number, because it can be changed into a prime (1192865630881) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 3147402531 + ... + 3147402909.

It is an arithmetic number, because the mean of its divisors is an integer number (3281886720).

Almost surely, 2^{1192865630880} is an apocalyptic number.

1192865630880 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 1192865630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520489000960).

1192865630880 is an abundant number, since it is smaller than the sum of its proper divisors (3848112371040).

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

1192865630880 is a wasteful number, since it uses less digits than its factorization.

1192865630880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 1192865630880 in words is "one trillion, one hundred ninety-two billion, eight hundred sixty-five million, six hundred thirty thousand, eight hundred eighty".