85518564136800 has 288 divisors, whose sum is σ = 282802475983104. Its totient is φ = 22443943680000.

The previous prime is 85518564136771. The next prime is 85518564136807. The reversal of 85518564136800 is 863146581558.

It is a super-2 number, since 2×85518564136800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85518564136807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39424515 + ... + 41537085.

It is an arithmetic number, because the mean of its divisors is an integer number (981953041608).

Almost surely, 2^{85518564136800} is an apocalyptic number.

85518564136800 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 85518564136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141401237991552).

85518564136800 is an abundant number, since it is smaller than the sum of its proper divisors (197283911846304).

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

85518564136800 is a wasteful number, since it uses less digits than its factorization.

85518564136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112862 (or 2112849 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 60.

The spelling of 85518564136800 in words is "eighty-five trillion, five hundred eighteen billion, five hundred sixty-four million, one hundred thirty-six thousand, eight hundred".