85611427200 has 768 divisors, whose sum is σ = 341943739200. Its totient is φ = 21051187200.

The previous prime is 85611427141. The next prime is 85611427247. The reversal of 85611427200 is 272411658.

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

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, 90978730 + ... + 90979670.

Almost surely, 2^85611427200 is an apocalyptic number.

85611427200 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 85611427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170971869600).

85611427200 is an abundant number, since it is smaller than the sum of its proper divisors (256332312000).

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

85611427200 is an equidigital number, since it uses as much as digits as its factorization.

85611427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 85611427200 its reverse (272411658), we get a palindrome (85883838858).

The spelling of 85611427200 in words is "eighty-five billion, six hundred eleven million, four hundred twenty-seven thousand, two hundred".