85729340556288 has 1760 divisors, whose sum is σ = 327087700587648. Its totient is φ = 21957731942400.

The previous prime is 85729340556269. The next prime is 85729340556289. The reversal of 85729340556288 is 88265504392758.

85729340556288 is a `hidden beast` number, since 8 + 5 + 7 + 2 + 9 + 3 + 40 + 556 + 28 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (85729340556289) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7460558223 + ... + 7460569713.

Almost surely, 2^{85729340556288} is an apocalyptic number.

85729340556288 is a gapful number since it is divisible by the number (88) 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 85729340556288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163543850293824).

85729340556288 is an abundant number, since it is smaller than the sum of its proper divisors (241358360031360).

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

85729340556288 is a wasteful number, since it uses less digits than its factorization.

85729340556288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11601 (or 11574 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 72.

The spelling of 85729340556288 in words is "eighty-five trillion, seven hundred twenty-nine billion, three hundred forty million, five hundred fifty-six thousand, two hundred eighty-eight".