85228930800 has 1080 divisors, whose sum is σ = 345127620240. Its totient is φ = 19408896000.

The previous prime is 85228930783. The next prime is 85228930849. The reversal of 85228930800 is 803982258.

It is a super-2 number, since 2×85228930800² (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 215 ways as a sum of consecutive naturals, for example, 843850750 + ... + 843850850.

Almost surely, 2^85228930800 is an apocalyptic number.

85228930800 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 85228930800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172563810120).

85228930800 is an abundant number, since it is smaller than the sum of its proper divisors (259898689440).

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

85228930800 is a wasteful number, since it uses less digits than its factorization.

85228930800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 85228930800 in words is "eighty-five billion, two hundred twenty-eight million, nine hundred thirty thousand, eight hundred".