1147239905280 has 384 divisors, whose sum is σ = 4329930608640. Its totient is φ = 253765877760.

The previous prime is 1147239905233. The next prime is 1147239905281. The reversal of 1147239905280 is 825099327411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1147239905281) 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, 6580192 + ... + 6752288.

It is an arithmetic number, because the mean of its divisors is an integer number (11275860960).

Almost surely, 2^{1147239905280} is an apocalyptic number.

1147239905280 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 1147239905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164965304320).

1147239905280 is an abundant number, since it is smaller than the sum of its proper divisors (3182690703360).

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

1147239905280 is a wasteful number, since it uses less digits than its factorization.

1147239905280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172165 (or 172145 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 1147239905280 in words is "one trillion, one hundred forty-seven billion, two hundred thirty-nine million, nine hundred five thousand, two hundred eighty".