85702204224000 has 5760 divisors, whose sum is σ = 412752448652544. Its totient is φ = 17557585920000.

The previous prime is 85702204223927. The next prime is 85702204224019. The reversal of 85702204224000 is 42240220758.

85702204224000 is a `hidden beast` number, since 8 + 5 + 7 + 0 + 220 + 4 + 22 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 406171583895 + ... + 406171584105.

Almost surely, 2^{85702204224000} is an apocalyptic number.

85702204224000 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 85702204224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206376224326272).

85702204224000 is an abundant number, since it is smaller than the sum of its proper divisors (327050244428544).

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

85702204224000 is a wasteful number, since it uses less digits than its factorization.

85702204224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

Adding to 85702204224000 its reverse (42240220758), we get a palindrome (85744444444758).

The spelling of 85702204224000 in words is "eighty-five trillion, seven hundred two billion, two hundred four million, two hundred twenty-four thousand".