1143061257600 has 288 divisors, whose sum is σ = 4080888583200. Its totient is φ = 304653127680.

The previous prime is 1143061257587. The next prime is 1143061257607. The reversal of 1143061257600 is 67521603411.

1143061257600 is a `hidden beast` number, since 1 + 1 + 4 + 30 + 6 + 12 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143061257607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59577609 + ... + 59596791.

It is an arithmetic number, because the mean of its divisors is an integer number (14169752025).

Almost surely, 2^{1143061257600} is an apocalyptic number.

1143061257600 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 1143061257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040444291600).

1143061257600 is an abundant number, since it is smaller than the sum of its proper divisors (2937827325600).

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

1143061257600 is a wasteful number, since it uses less digits than its factorization.

1143061257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21282 (or 21262 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1143061257600 in words is "one trillion, one hundred forty-three billion, sixty-one million, two hundred fifty-seven thousand, six hundred".