85729895701920 has 288 divisors, whose sum is σ = 300491285552640. Its totient is φ = 22241124771840.

The previous prime is 85729895701843. The next prime is 85729895701949. The reversal of 85729895701920 is 2910759892758.

85729895701920 is a `hidden beast` number, since 8 + 5 + 7 + 29 + 8 + 9 + 570 + 1 + 9 + 20 = 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 (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 547160551 + ... + 547317209.

It is an arithmetic number, because the mean of its divisors is an integer number (1043372519280).

Almost surely, 2^{85729895701920} is an apocalyptic number.

85729895701920 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 85729895701920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150245642776320).

85729895701920 is an abundant number, since it is smaller than the sum of its proper divisors (214761389850720).

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

85729895701920 is a wasteful number, since it uses less digits than its factorization.

85729895701920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166988 (or 166977 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 72.

The spelling of 85729895701920 in words is "eighty-five trillion, seven hundred twenty-nine billion, eight hundred ninety-five million, seven hundred one thousand, nine hundred twenty".