1131195648000 has 768 divisors, whose sum is σ = 4128882750720. Its totient is φ = 272695296000.

The previous prime is 1131195647999. The next prime is 1131195648019. The reversal of 1131195648000 is 8465911311.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 1131195648000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2475263772 + ... + 2475264228.

It is an arithmetic number, because the mean of its divisors is an integer number (5376149415).

Almost surely, 2^{1131195648000} is an apocalyptic number.

1131195648000 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 1131195648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064441375360).

1131195648000 is an abundant number, since it is smaller than the sum of its proper divisors (2997687102720).

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

1131195648000 is a wasteful number, since it uses less digits than its factorization.

1131195648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 1131195648000 in words is "one trillion, one hundred thirty-one billion, one hundred ninety-five million, six hundred forty-eight thousand".