85579716499200 has 864 divisors, whose sum is σ = 391246320299520. Its totient is φ = 17782795468800.

The previous prime is 85579716499183. The next prime is 85579716499247. The reversal of 85579716499200 is 299461797558.

85579716499200 is a `hidden beast` number, since 8 + 5 + 579 + 7 + 1 + 6 + 49 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×85579716499200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10089672 + ... + 16521528.

Almost surely, 2^{85579716499200} is an apocalyptic number.

85579716499200 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 85579716499200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195623160149760).

85579716499200 is an abundant number, since it is smaller than the sum of its proper divisors (305666603800320).

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

85579716499200 is a wasteful number, since it uses less digits than its factorization.

85579716499200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6431910 (or 6431885 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 85579716499200 in words is "eighty-five trillion, five hundred seventy-nine billion, seven hundred sixteen million, four hundred ninety-nine thousand, two hundred".