85021305600 has 864 divisors, whose sum is σ = 353297387520. Its totient is φ = 17491968000.

The previous prime is 85021305599. The next prime is 85021305601. The reversal of 85021305600 is 650312058.

It is an interprime number because it is at equal distance from previous prime (85021305599) and next prime (85021305601).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (85021305601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193670181 + ... + 193670619.

Almost surely, 2^85021305600 is an apocalyptic number.

85021305600 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 85021305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176648693760).

85021305600 is an abundant number, since it is smaller than the sum of its proper divisors (268276081920).

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

85021305600 is a wasteful number, since it uses less digits than its factorization.

85021305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 85021305600 its reverse (650312058), we get a palindrome (85671617658).

The spelling of 85021305600 in words is "eighty-five billion, twenty-one million, three hundred five thousand, six hundred".