85730861764800 has 840 divisors, whose sum is σ = 379097920227840. Its totient is φ = 18564273100800.

The previous prime is 85730861764787. The next prime is 85730861764829. The reversal of 85730861764800 is 846716803758.

85730861764800 is a `hidden beast` number, since 8 + 5 + 7 + 3 + 0 + 8 + 617 + 6 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14749945 + ... + 19723655.

Almost surely, 2^{85730861764800} is an apocalyptic number.

85730861764800 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 85730861764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189548960113920).

85730861764800 is an abundant number, since it is smaller than the sum of its proper divisors (293367058463040).

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

85730861764800 is a wasteful number, since it uses less digits than its factorization.

85730861764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4973771 (or 4973747 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 85730861764800 in words is "eighty-five trillion, seven hundred thirty billion, eight hundred sixty-one million, seven hundred sixty-four thousand, eight hundred".