85743079234560 has 4928 divisors, whose sum is σ = 378576060456960. Its totient is φ = 18393661440000.

The previous prime is 85743079234559. The next prime is 85743079234601. The reversal of 85743079234560 is 6543297034758.

It is a happy number.

85743079234560 is a `hidden beast` number, since 8 + 5 + 7 + 4 + 30 + 7 + 9 + 2 + 34 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 848941378510 + ... + 848941378610.

Almost surely, 2^{85743079234560} is an apocalyptic number.

85743079234560 is a gapful number since it is divisible by the number (80) 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 85743079234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189288030228480).

85743079234560 is an abundant number, since it is smaller than the sum of its proper divisors (292832981222400).

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

85743079234560 is a wasteful number, since it uses less digits than its factorization.

85743079234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 85743079234560 in words is "eighty-five trillion, seven hundred forty-three billion, seventy-nine million, two hundred thirty-four thousand, five hundred sixty".