1143971285760 has 576 divisors, whose sum is σ = 4280175244800. Its totient is φ = 288529661952.

The previous prime is 1143971285759. The next prime is 1143971285789. The reversal of 1143971285760 is 675821793411.

1143971285760 is a `hidden beast` number, since 1 + 1 + 43 + 9 + 7 + 1 + 28 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1143971285697 and 1143971285706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 579812134 + ... + 579814106.

It is an arithmetic number, because the mean of its divisors is an integer number (7430859800).

It is a 1-persistent number, because it is pandigital, but 2⋅1143971285760 = 2287942571520 is not.

Almost surely, 2^{1143971285760} is an apocalyptic number.

1143971285760 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 1143971285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140087622400).

1143971285760 is an abundant number, since it is smaller than the sum of its proper divisors (3136203959040).

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

1143971285760 is a wasteful number, since it uses less digits than its factorization.

1143971285760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1143971285760 in words is "one trillion, one hundred forty-three billion, nine hundred seventy-one million, two hundred eighty-five thousand, seven hundred sixty".