85729943152224 has 432 divisors, whose sum is σ = 299086179537600. Its totient is φ = 24079106048256.

The previous prime is 85729943152223. The next prime is 85729943152277. The reversal of 85729943152224 is 42225134992758.

It is a happy number.

85729943152224 is a `hidden beast` number, since 8 + 5 + 7 + 2 + 9 + 94 + 315 + 2 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×85729943152224² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85729943152223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20573647 + ... + 24387185.

It is an arithmetic number, because the mean of its divisors is an integer number (692329119300).

Almost surely, 2^{85729943152224} is an apocalyptic number.

85729943152224 is a gapful number since it is divisible by the number (84) 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 85729943152224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149543089768800).

85729943152224 is an abundant number, since it is smaller than the sum of its proper divisors (213356236385376).

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

85729943152224 is a wasteful number, since it uses less digits than its factorization.

85729943152224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813637 (or 3813610 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 85729943152224 in words is "eighty-five trillion, seven hundred twenty-nine billion, nine hundred forty-three million, one hundred fifty-two thousand, two hundred twenty-four".