85534444800 has 1080 divisors, whose sum is σ = 366668712256. Its totient is φ = 19349176320.

The previous prime is 85534444771. The next prime is 85534444813. The reversal of 85534444800 is 844443558.

85534444800 is a `hidden beast` number, since 85 + 53 + 4 + 44 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×85534444800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 881798352 + ... + 881798448.

Almost surely, 2^85534444800 is an apocalyptic number.

85534444800 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 85534444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183334356128).

85534444800 is an abundant number, since it is smaller than the sum of its proper divisors (281134267456).

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

85534444800 is an frugal number, since it uses more digits than its factorization.

85534444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 85534444800 in words is "eighty-five billion, five hundred thirty-four million, four hundred forty-four thousand, eight hundred".