85450780800 has 1728 divisors, whose sum is σ = 398879470080. Its totient is φ = 17031168000.

The previous prime is 85450780717. The next prime is 85450780871. The reversal of 85450780800 is 808705458.

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, 756201544 + ... + 756201656.

Almost surely, 2^85450780800 is an apocalyptic number.

85450780800 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 85450780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199439735040).

85450780800 is an abundant number, since it is smaller than the sum of its proper divisors (313428689280).

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

85450780800 is a wasteful number, since it uses less digits than its factorization.

85450780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 85450780800 in words is "eighty-five billion, four hundred fifty million, seven hundred eighty thousand, eight hundred".