85510378800 has 720 divisors, whose sum is σ = 371743706880. Its totient is φ = 17683200000.

The previous prime is 85510378787. The next prime is 85510378801. The reversal of 85510378800 is 887301558.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (85510378801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69576586 + ... + 69577814.

It is an arithmetic number, because the mean of its divisors is an integer number (516310704).

Almost surely, 2^85510378800 is an apocalyptic number.

85510378800 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 85510378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185871853440).

85510378800 is an abundant number, since it is smaller than the sum of its proper divisors (286233328080).

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

85510378800 is a wasteful number, since it uses less digits than its factorization.

85510378800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 85510378800 in words is "eighty-five billion, five hundred ten million, three hundred seventy-eight thousand, eight hundred".