85729093632000 has 3360 divisors, whose sum is σ = 395472730458624. Its totient is φ = 18059231232000.

The previous prime is 85729093631981. The next prime is 85729093632079. The reversal of 85729093632000 is 23639092758.

It is a happy number.

85729093632000 is a `hidden beast` number, since 8 + 5 + 7 + 290 + 93 + 63 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 135862271685 + ... + 135862272315.

Almost surely, 2^{85729093632000} is an apocalyptic number.

85729093632000 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 85729093632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197736365229312).

85729093632000 is an abundant number, since it is smaller than the sum of its proper divisors (309743636826624).

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

85729093632000 is an frugal number, since it uses more digits than its factorization.

85729093632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 85729093632000 in words is "eighty-five trillion, seven hundred twenty-nine billion, ninety-three million, six hundred thirty-two thousand".